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Finding the Fourth Proportional to 839.71, 1,159.32 and 541.09

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Solution

The fourth proportional to 839.71, 1,159.32 and 541.09 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.71 : 1,159.32 = 541.09 : x
  2. Step 2: Convert to fraction form
    839.71/1,159.32 = 541.09/x
  3. Step 3: Cross multiply
    839.71x = 1,159.32 × 541.09
  4. Step 4: Simplify right side
    839.71x = 627,299.94
  5. Step 5: Solve for x
    x = 627,299.94/839.71
  6. Step 6: Final answer
    x = 747.04

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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.