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Finding the Fourth Proportional to 986.66, 1,472.76 and 869.88

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Solution

The fourth proportional to 986.66, 1,472.76 and 869.88 is: 1,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.66 : 1,472.76 = 869.88 : x
  2. Step 2: Convert to fraction form
    986.66/1,472.76 = 869.88/x
  3. Step 3: Cross multiply
    986.66x = 1,472.76 × 869.88
  4. Step 4: Simplify right side
    986.66x = 1,281,124.47
  5. Step 5: Solve for x
    x = 1,281,124.47/986.66
  6. Step 6: Final answer
    x = 1,298.45

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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.