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Finding the Fourth Proportional to 723.62, 1,084.93 and 261.16

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Solution

The fourth proportional to 723.62, 1,084.93 and 261.16 is: 391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.62 : 1,084.93 = 261.16 : x
  2. Step 2: Convert to fraction form
    723.62/1,084.93 = 261.16/x
  3. Step 3: Cross multiply
    723.62x = 1,084.93 × 261.16
  4. Step 4: Simplify right side
    723.62x = 283,340.32
  5. Step 5: Solve for x
    x = 283,340.32/723.62
  6. Step 6: Final answer
    x = 391.56

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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.