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Finding the Fourth Proportional to 963.59, 1,331.12 and 766.85

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Solution

The fourth proportional to 963.59, 1,331.12 and 766.85 is: 1,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.59 : 1,331.12 = 766.85 : x
  2. Step 2: Convert to fraction form
    963.59/1,331.12 = 766.85/x
  3. Step 3: Cross multiply
    963.59x = 1,331.12 × 766.85
  4. Step 4: Simplify right side
    963.59x = 1,020,765.54
  5. Step 5: Solve for x
    x = 1,020,765.54/963.59
  6. Step 6: Final answer
    x = 1,059.34

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1.5x scale

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.