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Finding the Fourth Proportional to 836.48, 1,153.84 and 616

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Solution

The fourth proportional to 836.48, 1,153.84 and 616 is: 849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.48 : 1,153.84 = 616 : x
  2. Step 2: Convert to fraction form
    836.48/1,153.84 = 616/x
  3. Step 3: Cross multiply
    836.48x = 1,153.84 × 616
  4. Step 4: Simplify right side
    836.48x = 710,765.44
  5. Step 5: Solve for x
    x = 710,765.44/836.48
  6. Step 6: Final answer
    x = 849.71

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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.