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Finding the Fourth Proportional to 565.34, 843.92 and 488.78

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Solution

The fourth proportional to 565.34, 843.92 and 488.78 is: 729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.34 : 843.92 = 488.78 : x
  2. Step 2: Convert to fraction form
    565.34/843.92 = 488.78/x
  3. Step 3: Cross multiply
    565.34x = 843.92 × 488.78
  4. Step 4: Simplify right side
    565.34x = 412,491.22
  5. Step 5: Solve for x
    x = 412,491.22/565.34
  6. Step 6: Final answer
    x = 729.63

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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.