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Finding the Fourth Proportional to 656.74, 906.53 and 477.38

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Solution

The fourth proportional to 656.74, 906.53 and 477.38 is: 658.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.74 : 906.53 = 477.38 : x
  2. Step 2: Convert to fraction form
    656.74/906.53 = 477.38/x
  3. Step 3: Cross multiply
    656.74x = 906.53 × 477.38
  4. Step 4: Simplify right side
    656.74x = 432,759.29
  5. Step 5: Solve for x
    x = 432,759.29/656.74
  6. Step 6: Final answer
    x = 658.95

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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.