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Finding the Fourth Proportional to 784.42, 1,082.52 and 452.98

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Solution

The fourth proportional to 784.42, 1,082.52 and 452.98 is: 625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,082.52 = 452.98 : x
  2. Step 2: Convert to fraction form
    784.42/1,082.52 = 452.98/x
  3. Step 3: Cross multiply
    784.42x = 1,082.52 × 452.98
  4. Step 4: Simplify right side
    784.42x = 490,359.91
  5. Step 5: Solve for x
    x = 490,359.91/784.42
  6. Step 6: Final answer
    x = 625.12

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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.