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Finding the Fourth Proportional to 647.10, 892.17 and 425.70

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Solution

The fourth proportional to 647.10, 892.17 and 425.70 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 892.17 = 425.70 : x
  2. Step 2: Convert to fraction form
    647.10/892.17 = 425.70/x
  3. Step 3: Cross multiply
    647.10x = 892.17 × 425.70
  4. Step 4: Simplify right side
    647.10x = 379,796.77
  5. Step 5: Solve for x
    x = 379,796.77/647.10
  6. Step 6: Final answer
    x = 586.92

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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.