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Finding the Fourth Proportional to 963.68, 1,331.02 and 702.86

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Solution

The fourth proportional to 963.68, 1,331.02 and 702.86 is: 970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.68 : 1,331.02 = 702.86 : x
  2. Step 2: Convert to fraction form
    963.68/1,331.02 = 702.86/x
  3. Step 3: Cross multiply
    963.68x = 1,331.02 × 702.86
  4. Step 4: Simplify right side
    963.68x = 935,520.72
  5. Step 5: Solve for x
    x = 935,520.72/963.68
  6. Step 6: Final answer
    x = 970.78

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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.