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Finding the Fourth Proportional to 617.28, 853.20 and 469.68

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Solution

The fourth proportional to 617.28, 853.20 and 469.68 is: 649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.28 : 853.20 = 469.68 : x
  2. Step 2: Convert to fraction form
    617.28/853.20 = 469.68/x
  3. Step 3: Cross multiply
    617.28x = 853.20 × 469.68
  4. Step 4: Simplify right side
    617.28x = 400,730.98
  5. Step 5: Solve for x
    x = 400,730.98/617.28
  6. Step 6: Final answer
    x = 649.19

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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.