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Finding the Fourth Proportional to 963.65, 1,331.25 and 769.25

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Solution

The fourth proportional to 963.65, 1,331.25 and 769.25 is: 1,062.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.65 : 1,331.25 = 769.25 : x
  2. Step 2: Convert to fraction form
    963.65/1,331.25 = 769.25/x
  3. Step 3: Cross multiply
    963.65x = 1,331.25 × 769.25
  4. Step 4: Simplify right side
    963.65x = 1,024,064.06
  5. Step 5: Solve for x
    x = 1,024,064.06/963.65
  6. Step 6: Final answer
    x = 1,062.69

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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.