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Finding the Fourth Proportional to 836.17, 1,154.37 and 658.78

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Solution

The fourth proportional to 836.17, 1,154.37 and 658.78 is: 909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.17 : 1,154.37 = 658.78 : x
  2. Step 2: Convert to fraction form
    836.17/1,154.37 = 658.78/x
  3. Step 3: Cross multiply
    836.17x = 1,154.37 × 658.78
  4. Step 4: Simplify right side
    836.17x = 760,475.87
  5. Step 5: Solve for x
    x = 760,475.87/836.17
  6. Step 6: Final answer
    x = 909.48

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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.