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Finding the Fourth Proportional to 1,538.92, 2,308.31 and 614.22

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Solution

The fourth proportional to 1,538.92, 2,308.31 and 614.22 is: 921.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.92 : 2,308.31 = 614.22 : x
  2. Step 2: Convert to fraction form
    1,538.92/2,308.31 = 614.22/x
  3. Step 3: Cross multiply
    1,538.92x = 2,308.31 × 614.22
  4. Step 4: Simplify right side
    1,538.92x = 1,417,823.68
  5. Step 5: Solve for x
    x = 1,417,823.68/1,538.92
  6. Step 6: Final answer
    x = 921.31

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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.