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Finding the Fourth Proportional to 985.82, 1,468.92 and 876.76

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Solution

The fourth proportional to 985.82, 1,468.92 and 876.76 is: 1,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,468.92 = 876.76 : x
  2. Step 2: Convert to fraction form
    985.82/1,468.92 = 876.76/x
  3. Step 3: Cross multiply
    985.82x = 1,468.92 × 876.76
  4. Step 4: Simplify right side
    985.82x = 1,287,898.14
  5. Step 5: Solve for x
    x = 1,287,898.14/985.82
  6. Step 6: Final answer
    x = 1,306.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.