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Finding the Fourth Proportional to 839.50, 1,259.00 and 581.17

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Solution

The fourth proportional to 839.50, 1,259.00 and 581.17 is: 871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.50 : 1,259.00 = 581.17 : x
  2. Step 2: Convert to fraction form
    839.50/1,259.00 = 581.17/x
  3. Step 3: Cross multiply
    839.50x = 1,259.00 × 581.17
  4. Step 4: Simplify right side
    839.50x = 731,689.16
  5. Step 5: Solve for x
    x = 731,689.16/839.50
  6. Step 6: Final answer
    x = 871.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.