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Finding the Fourth Proportional to 565.44, 843.16 and 560.56

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Solution

The fourth proportional to 565.44, 843.16 and 560.56 is: 835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.44 : 843.16 = 560.56 : x
  2. Step 2: Convert to fraction form
    565.44/843.16 = 560.56/x
  3. Step 3: Cross multiply
    565.44x = 843.16 × 560.56
  4. Step 4: Simplify right side
    565.44x = 472,641.77
  5. Step 5: Solve for x
    x = 472,641.77/565.44
  6. Step 6: Final answer
    x = 835.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.