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Finding the Fourth Proportional to 839.76, 1,261.56 and 724.56

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Solution

The fourth proportional to 839.76, 1,261.56 and 724.56 is: 1,088.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.76 : 1,261.56 = 724.56 : x
  2. Step 2: Convert to fraction form
    839.76/1,261.56 = 724.56/x
  3. Step 3: Cross multiply
    839.76x = 1,261.56 × 724.56
  4. Step 4: Simplify right side
    839.76x = 914,075.91
  5. Step 5: Solve for x
    x = 914,075.91/839.76
  6. Step 6: Final answer
    x = 1,088.50

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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.