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Finding the Fourth Proportional to 722.53, 1,084.07 and 357.09

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Solution

The fourth proportional to 722.53, 1,084.07 and 357.09 is: 535.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.53 : 1,084.07 = 357.09 : x
  2. Step 2: Convert to fraction form
    722.53/1,084.07 = 357.09/x
  3. Step 3: Cross multiply
    722.53x = 1,084.07 × 357.09
  4. Step 4: Simplify right side
    722.53x = 387,110.56
  5. Step 5: Solve for x
    x = 387,110.56/722.53
  6. Step 6: Final answer
    x = 535.77

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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.