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Finding the Fourth Proportional to 563.14, 844.98 and 319.78

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Solution

The fourth proportional to 563.14, 844.98 and 319.78 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.14 : 844.98 = 319.78 : x
  2. Step 2: Convert to fraction form
    563.14/844.98 = 319.78/x
  3. Step 3: Cross multiply
    563.14x = 844.98 × 319.78
  4. Step 4: Simplify right side
    563.14x = 270,207.70
  5. Step 5: Solve for x
    x = 270,207.70/563.14
  6. Step 6: Final answer
    x = 479.82

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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.