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Finding the Fourth Proportional to 722.49, 1,084.37 and 539.31

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Solution

The fourth proportional to 722.49, 1,084.37 and 539.31 is: 809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.49 : 1,084.37 = 539.31 : x
  2. Step 2: Convert to fraction form
    722.49/1,084.37 = 539.31/x
  3. Step 3: Cross multiply
    722.49x = 1,084.37 × 539.31
  4. Step 4: Simplify right side
    722.49x = 584,808.89
  5. Step 5: Solve for x
    x = 584,808.89/722.49
  6. Step 6: Final answer
    x = 809.44

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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.