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Finding the Fourth Proportional to 440.72, 610.82 and 432.52

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Solution

The fourth proportional to 440.72, 610.82 and 432.52 is: 599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.72 : 610.82 = 432.52 : x
  2. Step 2: Convert to fraction form
    440.72/610.82 = 432.52/x
  3. Step 3: Cross multiply
    440.72x = 610.82 × 432.52
  4. Step 4: Simplify right side
    440.72x = 264,191.87
  5. Step 5: Solve for x
    x = 264,191.87/440.72
  6. Step 6: Final answer
    x = 599.46

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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.