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Finding the Fourth Proportional to 784.78, 1,082.64 and 489.52

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Solution

The fourth proportional to 784.78, 1,082.64 and 489.52 is: 675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.78 : 1,082.64 = 489.52 : x
  2. Step 2: Convert to fraction form
    784.78/1,082.64 = 489.52/x
  3. Step 3: Cross multiply
    784.78x = 1,082.64 × 489.52
  4. Step 4: Simplify right side
    784.78x = 529,973.93
  5. Step 5: Solve for x
    x = 529,973.93/784.78
  6. Step 6: Final answer
    x = 675.32

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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.