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Finding the Fourth Proportional to 617.46, 852.11 and 486.24

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Solution

The fourth proportional to 617.46, 852.11 and 486.24 is: 671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 852.11 = 486.24 : x
  2. Step 2: Convert to fraction form
    617.46/852.11 = 486.24/x
  3. Step 3: Cross multiply
    617.46x = 852.11 × 486.24
  4. Step 4: Simplify right side
    617.46x = 414,329.97
  5. Step 5: Solve for x
    x = 414,329.97/617.46
  6. Step 6: Final answer
    x = 671.02

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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.