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Finding the Fourth Proportional to 951.30, 1,308.42 and 878.40

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Solution

The fourth proportional to 951.30, 1,308.42 and 878.40 is: 1,208.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.30 : 1,308.42 = 878.40 : x
  2. Step 2: Convert to fraction form
    951.30/1,308.42 = 878.40/x
  3. Step 3: Cross multiply
    951.30x = 1,308.42 × 878.40
  4. Step 4: Simplify right side
    951.30x = 1,149,316.13
  5. Step 5: Solve for x
    x = 1,149,316.13/951.30
  6. Step 6: Final answer
    x = 1,208.15

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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.