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Finding the Fourth Proportional to 784.89, 1,082.87 and 563.76

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Solution

The fourth proportional to 784.89, 1,082.87 and 563.76 is: 777.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.89 : 1,082.87 = 563.76 : x
  2. Step 2: Convert to fraction form
    784.89/1,082.87 = 563.76/x
  3. Step 3: Cross multiply
    784.89x = 1,082.87 × 563.76
  4. Step 4: Simplify right side
    784.89x = 610,478.09
  5. Step 5: Solve for x
    x = 610,478.09/784.89
  6. Step 6: Final answer
    x = 777.79

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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.