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Finding the Fourth Proportional to 986.15, 1,472.45 and 869.68

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Solution

The fourth proportional to 986.15, 1,472.45 and 869.68 is: 1,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.15 : 1,472.45 = 869.68 : x
  2. Step 2: Convert to fraction form
    986.15/1,472.45 = 869.68/x
  3. Step 3: Cross multiply
    986.15x = 1,472.45 × 869.68
  4. Step 4: Simplify right side
    986.15x = 1,280,558.81
  5. Step 5: Solve for x
    x = 1,280,558.81/986.15
  6. Step 6: Final answer
    x = 1,298.54

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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.