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Finding the Fourth Proportional to 617.47, 850.95 and 477.34

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Solution

The fourth proportional to 617.47, 850.95 and 477.34 is: 657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.47 : 850.95 = 477.34 : x
  2. Step 2: Convert to fraction form
    617.47/850.95 = 477.34/x
  3. Step 3: Cross multiply
    617.47x = 850.95 × 477.34
  4. Step 4: Simplify right side
    617.47x = 406,192.47
  5. Step 5: Solve for x
    x = 406,192.47/617.47
  6. Step 6: Final answer
    x = 657.83

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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.