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Finding the Fourth Proportional to 456.75, 633.28 and 432.15

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Solution

The fourth proportional to 456.75, 633.28 and 432.15 is: 599.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 633.28 = 432.15 : x
  2. Step 2: Convert to fraction form
    456.75/633.28 = 432.15/x
  3. Step 3: Cross multiply
    456.75x = 633.28 × 432.15
  4. Step 4: Simplify right side
    456.75x = 273,671.95
  5. Step 5: Solve for x
    x = 273,671.95/456.75
  6. Step 6: Final answer
    x = 599.17

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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.