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Finding the Fourth Proportional to 656.31, 905.76 and 457.15

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Solution

The fourth proportional to 656.31, 905.76 and 457.15 is: 630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.31 : 905.76 = 457.15 : x
  2. Step 2: Convert to fraction form
    656.31/905.76 = 457.15/x
  3. Step 3: Cross multiply
    656.31x = 905.76 × 457.15
  4. Step 4: Simplify right side
    656.31x = 414,065.90
  5. Step 5: Solve for x
    x = 414,065.90/656.31
  6. Step 6: Final answer
    x = 630.90

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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.