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Finding the Fourth Proportional to 784.60, 1,082.56 and 469.96

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Solution

The fourth proportional to 784.60, 1,082.56 and 469.96 is: 648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.60 : 1,082.56 = 469.96 : x
  2. Step 2: Convert to fraction form
    784.60/1,082.56 = 469.96/x
  3. Step 3: Cross multiply
    784.60x = 1,082.56 × 469.96
  4. Step 4: Simplify right side
    784.60x = 508,759.90
  5. Step 5: Solve for x
    x = 508,759.90/784.60
  6. Step 6: Final answer
    x = 648.43

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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.