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Finding the Fourth Proportional to 722.51, 1,084.30 and 539.35

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Solution

The fourth proportional to 722.51, 1,084.30 and 539.35 is: 809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.51 : 1,084.30 = 539.35 : x
  2. Step 2: Convert to fraction form
    722.51/1,084.30 = 539.35/x
  3. Step 3: Cross multiply
    722.51x = 1,084.30 × 539.35
  4. Step 4: Simplify right side
    722.51x = 584,813.15
  5. Step 5: Solve for x
    x = 584,813.15/722.51
  6. Step 6: Final answer
    x = 809.42

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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.