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Finding the Fourth Proportional to 722.75, 1,084.50 and 393.92

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Solution

The fourth proportional to 722.75, 1,084.50 and 393.92 is: 591.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.75 : 1,084.50 = 393.92 : x
  2. Step 2: Convert to fraction form
    722.75/1,084.50 = 393.92/x
  3. Step 3: Cross multiply
    722.75x = 1,084.50 × 393.92
  4. Step 4: Simplify right side
    722.75x = 427,206.24
  5. Step 5: Solve for x
    x = 427,206.24/722.75
  6. Step 6: Final answer
    x = 591.08

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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.