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Finding the Fourth Proportional to 669.28, 924.96 and 521.76

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Solution

The fourth proportional to 669.28, 924.96 and 521.76 is: 721.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.28 : 924.96 = 521.76 : x
  2. Step 2: Convert to fraction form
    669.28/924.96 = 521.76/x
  3. Step 3: Cross multiply
    669.28x = 924.96 × 521.76
  4. Step 4: Simplify right side
    669.28x = 482,607.13
  5. Step 5: Solve for x
    x = 482,607.13/669.28
  6. Step 6: Final answer
    x = 721.08

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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.