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Finding the Fourth Proportional to 617.20, 852.14 and 477.06

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Solution

The fourth proportional to 617.20, 852.14 and 477.06 is: 658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.20 : 852.14 = 477.06 : x
  2. Step 2: Convert to fraction form
    617.20/852.14 = 477.06/x
  3. Step 3: Cross multiply
    617.20x = 852.14 × 477.06
  4. Step 4: Simplify right side
    617.20x = 406,521.91
  5. Step 5: Solve for x
    x = 406,521.91/617.20
  6. Step 6: Final answer
    x = 658.66

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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.