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Finding the Fourth Proportional to 455.75, 631.89 and 431.15

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Solution

The fourth proportional to 455.75, 631.89 and 431.15 is: 597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.75 : 631.89 = 431.15 : x
  2. Step 2: Convert to fraction form
    455.75/631.89 = 431.15/x
  3. Step 3: Cross multiply
    455.75x = 631.89 × 431.15
  4. Step 4: Simplify right side
    455.75x = 272,436.21
  5. Step 5: Solve for x
    x = 272,436.21/455.75
  6. Step 6: Final answer
    x = 597.78

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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.