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Finding the Fourth Proportional to 784.50, 1,082.73 and 474.18

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Solution

The fourth proportional to 784.50, 1,082.73 and 474.18 is: 654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.50 : 1,082.73 = 474.18 : x
  2. Step 2: Convert to fraction form
    784.50/1,082.73 = 474.18/x
  3. Step 3: Cross multiply
    784.50x = 1,082.73 × 474.18
  4. Step 4: Simplify right side
    784.50x = 513,408.91
  5. Step 5: Solve for x
    x = 513,408.91/784.50
  6. Step 6: Final answer
    x = 654.44

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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.