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Finding the Fourth Proportional to 722.62, 1,084.69 and 517.59

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Solution

The fourth proportional to 722.62, 1,084.69 and 517.59 is: 776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.62 : 1,084.69 = 517.59 : x
  2. Step 2: Convert to fraction form
    722.62/1,084.69 = 517.59/x
  3. Step 3: Cross multiply
    722.62x = 1,084.69 × 517.59
  4. Step 4: Simplify right side
    722.62x = 561,425.34
  5. Step 5: Solve for x
    x = 561,425.34/722.62
  6. Step 6: Final answer
    x = 776.93

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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.