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Finding the Fourth Proportional to 722.17, 1,084.07 and 720.55

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Solution

The fourth proportional to 722.17, 1,084.07 and 720.55 is: 1,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.17 : 1,084.07 = 720.55 : x
  2. Step 2: Convert to fraction form
    722.17/1,084.07 = 720.55/x
  3. Step 3: Cross multiply
    722.17x = 1,084.07 × 720.55
  4. Step 4: Simplify right side
    722.17x = 781,126.64
  5. Step 5: Solve for x
    x = 781,126.64/722.17
  6. Step 6: Final answer
    x = 1,081.64

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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.