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Finding the Fourth Proportional to 697.92, 963.16 and 436

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Solution

The fourth proportional to 697.92, 963.16 and 436 is: 601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.16 = 436 : x
  2. Step 2: Convert to fraction form
    697.92/963.16 = 436/x
  3. Step 3: Cross multiply
    697.92x = 963.16 × 436
  4. Step 4: Simplify right side
    697.92x = 419,937.76
  5. Step 5: Solve for x
    x = 419,937.76/697.92
  6. Step 6: Final answer
    x = 601.70

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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.