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Finding the Fourth Proportional to 563.52, 844.59 and 320.25

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Solution

The fourth proportional to 563.52, 844.59 and 320.25 is: 479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 844.59 = 320.25 : x
  2. Step 2: Convert to fraction form
    563.52/844.59 = 320.25/x
  3. Step 3: Cross multiply
    563.52x = 844.59 × 320.25
  4. Step 4: Simplify right side
    563.52x = 270,479.95
  5. Step 5: Solve for x
    x = 270,479.95/563.52
  6. Step 6: Final answer
    x = 479.98

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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.