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Finding the Fourth Proportional to 963.76, 1,329.96 and 702.88

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Solution

The fourth proportional to 963.76, 1,329.96 and 702.88 is: 969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.76 : 1,329.96 = 702.88 : x
  2. Step 2: Convert to fraction form
    963.76/1,329.96 = 702.88/x
  3. Step 3: Cross multiply
    963.76x = 1,329.96 × 702.88
  4. Step 4: Simplify right side
    963.76x = 934,802.28
  5. Step 5: Solve for x
    x = 934,802.28/963.76
  6. Step 6: Final answer
    x = 969.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.