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Finding the Fourth Proportional to 963.40, 1,323.17 and 891.40

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Solution

The fourth proportional to 963.40, 1,323.17 and 891.40 is: 1,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.40 : 1,323.17 = 891.40 : x
  2. Step 2: Convert to fraction form
    963.40/1,323.17 = 891.40/x
  3. Step 3: Cross multiply
    963.40x = 1,323.17 × 891.40
  4. Step 4: Simplify right side
    963.40x = 1,179,473.74
  5. Step 5: Solve for x
    x = 1,179,473.74/963.40
  6. Step 6: Final answer
    x = 1,224.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.