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Finding the Fourth Proportional to 475.31, 708.47 and 440.24

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Solution

The fourth proportional to 475.31, 708.47 and 440.24 is: 656.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.31 : 708.47 = 440.24 : x
  2. Step 2: Convert to fraction form
    475.31/708.47 = 440.24/x
  3. Step 3: Cross multiply
    475.31x = 708.47 × 440.24
  4. Step 4: Simplify right side
    475.31x = 311,896.40
  5. Step 5: Solve for x
    x = 311,896.40/475.31
  6. Step 6: Final answer
    x = 656.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.