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Finding the Fourth Proportional to 617.23, 852.09 and 477.03

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Solution

The fourth proportional to 617.23, 852.09 and 477.03 is: 658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.23 : 852.09 = 477.03 : x
  2. Step 2: Convert to fraction form
    617.23/852.09 = 477.03/x
  3. Step 3: Cross multiply
    617.23x = 852.09 × 477.03
  4. Step 4: Simplify right side
    617.23x = 406,473.90
  5. Step 5: Solve for x
    x = 406,473.90/617.23
  6. Step 6: Final answer
    x = 658.54

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Double scale
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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.