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Finding the Fourth Proportional to 1,207.29, 1,664.26 and 875.19

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Solution

The fourth proportional to 1,207.29, 1,664.26 and 875.19 is: 1,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.29 : 1,664.26 = 875.19 : x
  2. Step 2: Convert to fraction form
    1,207.29/1,664.26 = 875.19/x
  3. Step 3: Cross multiply
    1,207.29x = 1,664.26 × 875.19
  4. Step 4: Simplify right side
    1,207.29x = 1,456,543.71
  5. Step 5: Solve for x
    x = 1,456,543.71/1,207.29
  6. Step 6: Final answer
    x = 1,206.46

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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.