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Finding the Fourth Proportional to 432.41, 596.42 and 418.13

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Solution

The fourth proportional to 432.41, 596.42 and 418.13 is: 576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.41 : 596.42 = 418.13 : x
  2. Step 2: Convert to fraction form
    432.41/596.42 = 418.13/x
  3. Step 3: Cross multiply
    432.41x = 596.42 × 418.13
  4. Step 4: Simplify right side
    432.41x = 249,379.00
  5. Step 5: Solve for x
    x = 249,379.00/432.41
  6. Step 6: Final answer
    x = 576.72

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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.