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Finding the Fourth Proportional to 784.75, 1,082.21 and 571.87

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Solution

The fourth proportional to 784.75, 1,082.21 and 571.87 is: 788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.75 : 1,082.21 = 571.87 : x
  2. Step 2: Convert to fraction form
    784.75/1,082.21 = 571.87/x
  3. Step 3: Cross multiply
    784.75x = 1,082.21 × 571.87
  4. Step 4: Simplify right side
    784.75x = 618,883.43
  5. Step 5: Solve for x
    x = 618,883.43/784.75
  6. Step 6: Final answer
    x = 788.64

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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.