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Finding the Fourth Proportional to 784.54, 1,082.12 and 489.70

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Solution

The fourth proportional to 784.54, 1,082.12 and 489.70 is: 675.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.54 : 1,082.12 = 489.70 : x
  2. Step 2: Convert to fraction form
    784.54/1,082.12 = 489.70/x
  3. Step 3: Cross multiply
    784.54x = 1,082.12 × 489.70
  4. Step 4: Simplify right side
    784.54x = 529,914.16
  5. Step 5: Solve for x
    x = 529,914.16/784.54
  6. Step 6: Final answer
    x = 675.45

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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.