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Finding the Fourth Proportional to 1,591.84, 2,386.32 and 724.96

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Solution

The fourth proportional to 1,591.84, 2,386.32 and 724.96 is: 1,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.84 : 2,386.32 = 724.96 : x
  2. Step 2: Convert to fraction form
    1,591.84/2,386.32 = 724.96/x
  3. Step 3: Cross multiply
    1,591.84x = 2,386.32 × 724.96
  4. Step 4: Simplify right side
    1,591.84x = 1,729,986.55
  5. Step 5: Solve for x
    x = 1,729,986.55/1,591.84
  6. Step 6: Final answer
    x = 1,086.78

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1.5x scale

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.