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Finding the Fourth Proportional to 963.64, 1,328.70 and 769.24

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Solution

The fourth proportional to 963.64, 1,328.70 and 769.24 is: 1,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.64 : 1,328.70 = 769.24 : x
  2. Step 2: Convert to fraction form
    963.64/1,328.70 = 769.24/x
  3. Step 3: Cross multiply
    963.64x = 1,328.70 × 769.24
  4. Step 4: Simplify right side
    963.64x = 1,022,089.19
  5. Step 5: Solve for x
    x = 1,022,089.19/963.64
  6. Step 6: Final answer
    x = 1,060.65

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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.