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Finding the Fourth Proportional to 663.20, 914.27 and 522.75

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Solution

The fourth proportional to 663.20, 914.27 and 522.75 is: 720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.20 : 914.27 = 522.75 : x
  2. Step 2: Convert to fraction form
    663.20/914.27 = 522.75/x
  3. Step 3: Cross multiply
    663.20x = 914.27 × 522.75
  4. Step 4: Simplify right side
    663.20x = 477,932.03
  5. Step 5: Solve for x
    x = 477,932.03/663.20
  6. Step 6: Final answer
    x = 720.65

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Half scale
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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.