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Finding the Fourth Proportional to 432.06, 591.92 and 415.62

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Solution

The fourth proportional to 432.06, 591.92 and 415.62 is: 569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 591.92 = 415.62 : x
  2. Step 2: Convert to fraction form
    432.06/591.92 = 415.62/x
  3. Step 3: Cross multiply
    432.06x = 591.92 × 415.62
  4. Step 4: Simplify right side
    432.06x = 246,011.71
  5. Step 5: Solve for x
    x = 246,011.71/432.06
  6. Step 6: Final answer
    x = 569.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.