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Finding the Fourth Proportional to 456.57, 632.88 and 431.91

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Solution

The fourth proportional to 456.57, 632.88 and 431.91 is: 598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 632.88 = 431.91 : x
  2. Step 2: Convert to fraction form
    456.57/632.88 = 431.91/x
  3. Step 3: Cross multiply
    456.57x = 632.88 × 431.91
  4. Step 4: Simplify right side
    456.57x = 273,347.20
  5. Step 5: Solve for x
    x = 273,347.20/456.57
  6. Step 6: Final answer
    x = 598.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.