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Finding the Fourth Proportional to 723.67, 1,084.05 and 333.12

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Solution

The fourth proportional to 723.67, 1,084.05 and 333.12 is: 499.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.67 : 1,084.05 = 333.12 : x
  2. Step 2: Convert to fraction form
    723.67/1,084.05 = 333.12/x
  3. Step 3: Cross multiply
    723.67x = 1,084.05 × 333.12
  4. Step 4: Simplify right side
    723.67x = 361,117.07
  5. Step 5: Solve for x
    x = 361,117.07/723.67
  6. Step 6: Final answer
    x = 499.01

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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.