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Finding the Fourth Proportional to 617.98, 852.24 and 397.12

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Solution

The fourth proportional to 617.98, 852.24 and 397.12 is: 547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 852.24 = 397.12 : x
  2. Step 2: Convert to fraction form
    617.98/852.24 = 397.12/x
  3. Step 3: Cross multiply
    617.98x = 852.24 × 397.12
  4. Step 4: Simplify right side
    617.98x = 338,441.55
  5. Step 5: Solve for x
    x = 338,441.55/617.98
  6. Step 6: Final answer
    x = 547.66

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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.