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Finding the Fourth Proportional to 652.52, 977.08 and 521.92

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Solution

The fourth proportional to 652.52, 977.08 and 521.92 is: 781.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.52 : 977.08 = 521.92 : x
  2. Step 2: Convert to fraction form
    652.52/977.08 = 521.92/x
  3. Step 3: Cross multiply
    652.52x = 977.08 × 521.92
  4. Step 4: Simplify right side
    652.52x = 509,957.59
  5. Step 5: Solve for x
    x = 509,957.59/652.52
  6. Step 6: Final answer
    x = 781.52

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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.