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Finding the Fourth Proportional to 951.50, 1,434.60 and 761.42

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Solution

The fourth proportional to 951.50, 1,434.60 and 761.42 is: 1,148.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.50 : 1,434.60 = 761.42 : x
  2. Step 2: Convert to fraction form
    951.50/1,434.60 = 761.42/x
  3. Step 3: Cross multiply
    951.50x = 1,434.60 × 761.42
  4. Step 4: Simplify right side
    951.50x = 1,092,333.13
  5. Step 5: Solve for x
    x = 1,092,333.13/951.50
  6. Step 6: Final answer
    x = 1,148.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.