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Finding the Fourth Proportional to 974.79, 1,344.26 and 788.15

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Solution

The fourth proportional to 974.79, 1,344.26 and 788.15 is: 1,086.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.79 : 1,344.26 = 788.15 : x
  2. Step 2: Convert to fraction form
    974.79/1,344.26 = 788.15/x
  3. Step 3: Cross multiply
    974.79x = 1,344.26 × 788.15
  4. Step 4: Simplify right side
    974.79x = 1,059,483.85
  5. Step 5: Solve for x
    x = 1,059,483.85/974.79
  6. Step 6: Final answer
    x = 1,086.88

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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.