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Finding the Fourth Proportional to 963.97, 1,328.96 and 740.25

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Solution

The fourth proportional to 963.97, 1,328.96 and 740.25 is: 1,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.97 : 1,328.96 = 740.25 : x
  2. Step 2: Convert to fraction form
    963.97/1,328.96 = 740.25/x
  3. Step 3: Cross multiply
    963.97x = 1,328.96 × 740.25
  4. Step 4: Simplify right side
    963.97x = 983,764.49
  5. Step 5: Solve for x
    x = 983,764.49/963.97
  6. Step 6: Final answer
    x = 1,020.54

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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.