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Finding the Fourth Proportional to 724.99, 1,086.12 and 561.88

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Solution

The fourth proportional to 724.99, 1,086.12 and 561.88 is: 841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.99 : 1,086.12 = 561.88 : x
  2. Step 2: Convert to fraction form
    724.99/1,086.12 = 561.88/x
  3. Step 3: Cross multiply
    724.99x = 1,086.12 × 561.88
  4. Step 4: Simplify right side
    724.99x = 610,260.87
  5. Step 5: Solve for x
    x = 610,260.87/724.99
  6. Step 6: Final answer
    x = 841.75

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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.