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Finding the Fourth Proportional to 415.80, 576.54 and 391.68

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Solution

The fourth proportional to 415.80, 576.54 and 391.68 is: 543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 576.54 = 391.68 : x
  2. Step 2: Convert to fraction form
    415.80/576.54 = 391.68/x
  3. Step 3: Cross multiply
    415.80x = 576.54 × 391.68
  4. Step 4: Simplify right side
    415.80x = 225,819.19
  5. Step 5: Solve for x
    x = 225,819.19/415.80
  6. Step 6: Final answer
    x = 543.10

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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.