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Finding the Fourth Proportional to 837.59, 1,154.81 and 575.15

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Solution

The fourth proportional to 837.59, 1,154.81 and 575.15 is: 792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.59 : 1,154.81 = 575.15 : x
  2. Step 2: Convert to fraction form
    837.59/1,154.81 = 575.15/x
  3. Step 3: Cross multiply
    837.59x = 1,154.81 × 575.15
  4. Step 4: Simplify right side
    837.59x = 664,186.10
  5. Step 5: Solve for x
    x = 664,186.10/837.59
  6. Step 6: Final answer
    x = 792.97

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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.