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Finding the Fourth Proportional to 563.74, 844.41 and 320.14

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Solution

The fourth proportional to 563.74, 844.41 and 320.14 is: 479.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.74 : 844.41 = 320.14 : x
  2. Step 2: Convert to fraction form
    563.74/844.41 = 320.14/x
  3. Step 3: Cross multiply
    563.74x = 844.41 × 320.14
  4. Step 4: Simplify right side
    563.74x = 270,329.42
  5. Step 5: Solve for x
    x = 270,329.42/563.74
  6. Step 6: Final answer
    x = 479.53

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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.