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Finding the Fourth Proportional to 784.64, 1,082.88 and 489.92

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Solution

The fourth proportional to 784.64, 1,082.88 and 489.92 is: 676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.64 : 1,082.88 = 489.92 : x
  2. Step 2: Convert to fraction form
    784.64/1,082.88 = 489.92/x
  3. Step 3: Cross multiply
    784.64x = 1,082.88 × 489.92
  4. Step 4: Simplify right side
    784.64x = 530,524.57
  5. Step 5: Solve for x
    x = 530,524.57/784.64
  6. Step 6: Final answer
    x = 676.14

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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.