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Finding the Fourth Proportional to 986.40, 1,472.82 and 869.93

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Solution

The fourth proportional to 986.40, 1,472.82 and 869.93 is: 1,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.40 : 1,472.82 = 869.93 : x
  2. Step 2: Convert to fraction form
    986.40/1,472.82 = 869.93/x
  3. Step 3: Cross multiply
    986.40x = 1,472.82 × 869.93
  4. Step 4: Simplify right side
    986.40x = 1,281,250.30
  5. Step 5: Solve for x
    x = 1,281,250.30/986.40
  6. Step 6: Final answer
    x = 1,298.92

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Why These Related Problems?

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