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Finding the Fourth Proportional to 837.27, 1,154.97 and 505.49

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Solution

The fourth proportional to 837.27, 1,154.97 and 505.49 is: 697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.27 : 1,154.97 = 505.49 : x
  2. Step 2: Convert to fraction form
    837.27/1,154.97 = 505.49/x
  3. Step 3: Cross multiply
    837.27x = 1,154.97 × 505.49
  4. Step 4: Simplify right side
    837.27x = 583,820.01
  5. Step 5: Solve for x
    x = 583,820.01/837.27
  6. Step 6: Final answer
    x = 697.29

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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.