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Finding the Fourth Proportional to 963.24, 1,328.40 and 631.55

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Solution

The fourth proportional to 963.24, 1,328.40 and 631.55 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.24 : 1,328.40 = 631.55 : x
  2. Step 2: Convert to fraction form
    963.24/1,328.40 = 631.55/x
  3. Step 3: Cross multiply
    963.24x = 1,328.40 × 631.55
  4. Step 4: Simplify right side
    963.24x = 838,951.02
  5. Step 5: Solve for x
    x = 838,951.02/963.24
  6. Step 6: Final answer
    x = 870.97

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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.