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Finding the Fourth Proportional to 837.59, 1,156.08 and 571.91

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Solution

The fourth proportional to 837.59, 1,156.08 and 571.91 is: 789.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.59 : 1,156.08 = 571.91 : x
  2. Step 2: Convert to fraction form
    837.59/1,156.08 = 571.91/x
  3. Step 3: Cross multiply
    837.59x = 1,156.08 × 571.91
  4. Step 4: Simplify right side
    837.59x = 661,173.71
  5. Step 5: Solve for x
    x = 661,173.71/837.59
  6. Step 6: Final answer
    x = 789.38

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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.