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Finding the Fourth Proportional to 605.52, 905.94 and 432.36

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Solution

The fourth proportional to 605.52, 905.94 and 432.36 is: 646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.52 : 905.94 = 432.36 : x
  2. Step 2: Convert to fraction form
    605.52/905.94 = 432.36/x
  3. Step 3: Cross multiply
    605.52x = 905.94 × 432.36
  4. Step 4: Simplify right side
    605.52x = 391,692.22
  5. Step 5: Solve for x
    x = 391,692.22/605.52
  6. Step 6: Final answer
    x = 646.87

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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.