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Finding the Fourth Proportional to 656.88, 905.68 and 538.71

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Solution

The fourth proportional to 656.88, 905.68 and 538.71 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.88 : 905.68 = 538.71 : x
  2. Step 2: Convert to fraction form
    656.88/905.68 = 538.71/x
  3. Step 3: Cross multiply
    656.88x = 905.68 × 538.71
  4. Step 4: Simplify right side
    656.88x = 487,898.87
  5. Step 5: Solve for x
    x = 487,898.87/656.88
  6. Step 6: Final answer
    x = 742.75

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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.