Home / 1,538.38-2,307.77-614.04

Finding the Fourth Proportional to 1,538.38, 2,307.77 and 614.04

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Solution

The fourth proportional to 1,538.38, 2,307.77 and 614.04 is: 921.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.38 : 2,307.77 = 614.04 : x
  2. Step 2: Convert to fraction form
    1,538.38/2,307.77 = 614.04/x
  3. Step 3: Cross multiply
    1,538.38x = 2,307.77 × 614.04
  4. Step 4: Simplify right side
    1,538.38x = 1,417,063.09
  5. Step 5: Solve for x
    x = 1,417,063.09/1,538.38
  6. Step 6: Final answer
    x = 921.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.