Home / 1,220.45-1,684.10-748.13

Finding the Fourth Proportional to 1,220.45, 1,684.10 and 748.13

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Solution

The fourth proportional to 1,220.45, 1,684.10 and 748.13 is: 1,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.45 : 1,684.10 = 748.13 : x
  2. Step 2: Convert to fraction form
    1,220.45/1,684.10 = 748.13/x
  3. Step 3: Cross multiply
    1,220.45x = 1,684.10 × 748.13
  4. Step 4: Simplify right side
    1,220.45x = 1,259,919.18
  5. Step 5: Solve for x
    x = 1,259,919.18/1,220.45
  6. Step 6: Final answer
    x = 1,032.34

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Half scale
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Double scale
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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.