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Finding the Fourth Proportional to 723.59, 1,084.98 and 399.19

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Solution

The fourth proportional to 723.59, 1,084.98 and 399.19 is: 598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.59 : 1,084.98 = 399.19 : x
  2. Step 2: Convert to fraction form
    723.59/1,084.98 = 399.19/x
  3. Step 3: Cross multiply
    723.59x = 1,084.98 × 399.19
  4. Step 4: Simplify right side
    723.59x = 433,113.17
  5. Step 5: Solve for x
    x = 433,113.17/723.59
  6. Step 6: Final answer
    x = 598.56

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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.