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Finding the Fourth Proportional to 605.08, 908.13 and 432.17

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Solution

The fourth proportional to 605.08, 908.13 and 432.17 is: 648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.08 : 908.13 = 432.17 : x
  2. Step 2: Convert to fraction form
    605.08/908.13 = 432.17/x
  3. Step 3: Cross multiply
    605.08x = 908.13 × 432.17
  4. Step 4: Simplify right side
    605.08x = 392,459.84
  5. Step 5: Solve for x
    x = 392,459.84/605.08
  6. Step 6: Final answer
    x = 648.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.