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Finding the Fourth Proportional to 617.80, 853.20 and 431.76

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Solution

The fourth proportional to 617.80, 853.20 and 431.76 is: 596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 853.20 = 431.76 : x
  2. Step 2: Convert to fraction form
    617.80/853.20 = 431.76/x
  3. Step 3: Cross multiply
    617.80x = 853.20 × 431.76
  4. Step 4: Simplify right side
    617.80x = 368,377.63
  5. Step 5: Solve for x
    x = 368,377.63/617.80
  6. Step 6: Final answer
    x = 596.27

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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.