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Finding the Fourth Proportional to 963.21, 1,328.88 and 631.83

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Solution

The fourth proportional to 963.21, 1,328.88 and 631.83 is: 871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.21 : 1,328.88 = 631.83 : x
  2. Step 2: Convert to fraction form
    963.21/1,328.88 = 631.83/x
  3. Step 3: Cross multiply
    963.21x = 1,328.88 × 631.83
  4. Step 4: Simplify right side
    963.21x = 839,626.25
  5. Step 5: Solve for x
    x = 839,626.25/963.21
  6. Step 6: Final answer
    x = 871.70

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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.