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Finding the Fourth Proportional to 966.98, 1,334.42 and 524.87

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Solution

The fourth proportional to 966.98, 1,334.42 and 524.87 is: 724.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.98 : 1,334.42 = 524.87 : x
  2. Step 2: Convert to fraction form
    966.98/1,334.42 = 524.87/x
  3. Step 3: Cross multiply
    966.98x = 1,334.42 × 524.87
  4. Step 4: Simplify right side
    966.98x = 700,387.73
  5. Step 5: Solve for x
    x = 700,387.73/966.98
  6. Step 6: Final answer
    x = 724.31

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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.