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Finding the Fourth Proportional to 986.48, 1,472.50 and 869.71

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Solution

The fourth proportional to 986.48, 1,472.50 and 869.71 is: 1,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.48 : 1,472.50 = 869.71 : x
  2. Step 2: Convert to fraction form
    986.48/1,472.50 = 869.71/x
  3. Step 3: Cross multiply
    986.48x = 1,472.50 × 869.71
  4. Step 4: Simplify right side
    986.48x = 1,280,647.98
  5. Step 5: Solve for x
    x = 1,280,647.98/986.48
  6. Step 6: Final answer
    x = 1,298.20

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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.