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Finding the Fourth Proportional to 659.68, 990.47 and 477.97

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Solution

The fourth proportional to 659.68, 990.47 and 477.97 is: 717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 990.47 = 477.97 : x
  2. Step 2: Convert to fraction form
    659.68/990.47 = 477.97/x
  3. Step 3: Cross multiply
    659.68x = 990.47 × 477.97
  4. Step 4: Simplify right side
    659.68x = 473,414.95
  5. Step 5: Solve for x
    x = 473,414.95/659.68
  6. Step 6: Final answer
    x = 717.64

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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.