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Finding the Fourth Proportional to 652.92, 901.14 and 387.30

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Solution

The fourth proportional to 652.92, 901.14 and 387.30 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.92 : 901.14 = 387.30 : x
  2. Step 2: Convert to fraction form
    652.92/901.14 = 387.30/x
  3. Step 3: Cross multiply
    652.92x = 901.14 × 387.30
  4. Step 4: Simplify right side
    652.92x = 349,011.52
  5. Step 5: Solve for x
    x = 349,011.52/652.92
  6. Step 6: Final answer
    x = 534.54

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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.