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Finding the Fourth Proportional to 617.30, 853.02 and 477.80

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Solution

The fourth proportional to 617.30, 853.02 and 477.80 is: 660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 853.02 = 477.80 : x
  2. Step 2: Convert to fraction form
    617.30/853.02 = 477.80/x
  3. Step 3: Cross multiply
    617.30x = 853.02 × 477.80
  4. Step 4: Simplify right side
    617.30x = 407,572.96
  5. Step 5: Solve for x
    x = 407,572.96/617.30
  6. Step 6: Final answer
    x = 660.25

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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.