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Finding the Fourth Proportional to 724.42, 999.84 and 566.74

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Solution

The fourth proportional to 724.42, 999.84 and 566.74 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.42 : 999.84 = 566.74 : x
  2. Step 2: Convert to fraction form
    724.42/999.84 = 566.74/x
  3. Step 3: Cross multiply
    724.42x = 999.84 × 566.74
  4. Step 4: Simplify right side
    724.42x = 566,649.32
  5. Step 5: Solve for x
    x = 566,649.32/724.42
  6. Step 6: Final answer
    x = 782.21

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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.