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Finding the Fourth Proportional to 857.27, 1,283.52 and 563.87

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Solution

The fourth proportional to 857.27, 1,283.52 and 563.87 is: 844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.27 : 1,283.52 = 563.87 : x
  2. Step 2: Convert to fraction form
    857.27/1,283.52 = 563.87/x
  3. Step 3: Cross multiply
    857.27x = 1,283.52 × 563.87
  4. Step 4: Simplify right side
    857.27x = 723,738.42
  5. Step 5: Solve for x
    x = 723,738.42/857.27
  6. Step 6: Final answer
    x = 844.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.