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Finding the Fourth Proportional to 617.57, 851.63 and 477.35

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Solution

The fourth proportional to 617.57, 851.63 and 477.35 is: 658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.57 : 851.63 = 477.35 : x
  2. Step 2: Convert to fraction form
    617.57/851.63 = 477.35/x
  3. Step 3: Cross multiply
    617.57x = 851.63 × 477.35
  4. Step 4: Simplify right side
    617.57x = 406,525.58
  5. Step 5: Solve for x
    x = 406,525.58/617.57
  6. Step 6: Final answer
    x = 658.27

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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.