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Finding the Fourth Proportional to 951.10, 1,423.17 and 561.28

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Solution

The fourth proportional to 951.10, 1,423.17 and 561.28 is: 839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.10 : 1,423.17 = 561.28 : x
  2. Step 2: Convert to fraction form
    951.10/1,423.17 = 561.28/x
  3. Step 3: Cross multiply
    951.10x = 1,423.17 × 561.28
  4. Step 4: Simplify right side
    951.10x = 798,796.86
  5. Step 5: Solve for x
    x = 798,796.86/951.10
  6. Step 6: Final answer
    x = 839.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.