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Finding the Fourth Proportional to 610.20, 841.17 and 432.90

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Solution

The fourth proportional to 610.20, 841.17 and 432.90 is: 596.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.20 : 841.17 = 432.90 : x
  2. Step 2: Convert to fraction form
    610.20/841.17 = 432.90/x
  3. Step 3: Cross multiply
    610.20x = 841.17 × 432.90
  4. Step 4: Simplify right side
    610.20x = 364,142.49
  5. Step 5: Solve for x
    x = 364,142.49/610.20
  6. Step 6: Final answer
    x = 596.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.