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Finding the Fourth Proportional to 837.18, 1,154.39 and 725.67

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Solution

The fourth proportional to 837.18, 1,154.39 and 725.67 is: 1,000.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.18 : 1,154.39 = 725.67 : x
  2. Step 2: Convert to fraction form
    837.18/1,154.39 = 725.67/x
  3. Step 3: Cross multiply
    837.18x = 1,154.39 × 725.67
  4. Step 4: Simplify right side
    837.18x = 837,702.56
  5. Step 5: Solve for x
    x = 837,702.56/837.18
  6. Step 6: Final answer
    x = 1,000.62

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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.