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Finding the Fourth Proportional to 784.81, 1,082.85 and 489.97

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Solution

The fourth proportional to 784.81, 1,082.85 and 489.97 is: 676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.81 : 1,082.85 = 489.97 : x
  2. Step 2: Convert to fraction form
    784.81/1,082.85 = 489.97/x
  3. Step 3: Cross multiply
    784.81x = 1,082.85 × 489.97
  4. Step 4: Simplify right side
    784.81x = 530,564.01
  5. Step 5: Solve for x
    x = 530,564.01/784.81
  6. Step 6: Final answer
    x = 676.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.