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Finding the Fourth Proportional to 1,207.19, 1,664.11 and 944.75

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Solution

The fourth proportional to 1,207.19, 1,664.11 and 944.75 is: 1,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.19 : 1,664.11 = 944.75 : x
  2. Step 2: Convert to fraction form
    1,207.19/1,664.11 = 944.75/x
  3. Step 3: Cross multiply
    1,207.19x = 1,664.11 × 944.75
  4. Step 4: Simplify right side
    1,207.19x = 1,572,167.92
  5. Step 5: Solve for x
    x = 1,572,167.92/1,207.19
  6. Step 6: Final answer
    x = 1,302.34

Related Problems

Find fourth proportional to 603.60, 832.06 and 472.38
Half scale
Find fourth proportional to 2,414.38, 3,328.22 and 1,889.50
Double scale
Find fourth proportional to 1,208.19, 1,665.49 and 945.75
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.