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Finding the Fourth Proportional to 659.68, 990.32 and 521.28

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Solution

The fourth proportional to 659.68, 990.32 and 521.28 is: 782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 990.32 = 521.28 : x
  2. Step 2: Convert to fraction form
    659.68/990.32 = 521.28/x
  3. Step 3: Cross multiply
    659.68x = 990.32 × 521.28
  4. Step 4: Simplify right side
    659.68x = 516,234.01
  5. Step 5: Solve for x
    x = 516,234.01/659.68
  6. Step 6: Final answer
    x = 782.55

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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.