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Finding the Fourth Proportional to 784.01, 1,082.55 and 563.49

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Solution

The fourth proportional to 784.01, 1,082.55 and 563.49 is: 778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.01 : 1,082.55 = 563.49 : x
  2. Step 2: Convert to fraction form
    784.01/1,082.55 = 563.49/x
  3. Step 3: Cross multiply
    784.01x = 1,082.55 × 563.49
  4. Step 4: Simplify right side
    784.01x = 610,006.10
  5. Step 5: Solve for x
    x = 610,006.10/784.01
  6. Step 6: Final answer
    x = 778.06

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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.