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Finding the Fourth Proportional to 697.35, 963.68 and 522.39

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Solution

The fourth proportional to 697.35, 963.68 and 522.39 is: 721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.35 : 963.68 = 522.39 : x
  2. Step 2: Convert to fraction form
    697.35/963.68 = 522.39/x
  3. Step 3: Cross multiply
    697.35x = 963.68 × 522.39
  4. Step 4: Simplify right side
    697.35x = 503,414.18
  5. Step 5: Solve for x
    x = 503,414.18/697.35
  6. Step 6: Final answer
    x = 721.90

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1.5x scale

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.