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Finding the Fourth Proportional to 563.31, 843.51 and 471.78

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Solution

The fourth proportional to 563.31, 843.51 and 471.78 is: 706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.31 : 843.51 = 471.78 : x
  2. Step 2: Convert to fraction form
    563.31/843.51 = 471.78/x
  3. Step 3: Cross multiply
    563.31x = 843.51 × 471.78
  4. Step 4: Simplify right side
    563.31x = 397,951.15
  5. Step 5: Solve for x
    x = 397,951.15/563.31
  6. Step 6: Final answer
    x = 706.45

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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.