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Finding the Fourth Proportional to 725.94, 1,088.84 and 355.60

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Solution

The fourth proportional to 725.94, 1,088.84 and 355.60 is: 533.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.94 : 1,088.84 = 355.60 : x
  2. Step 2: Convert to fraction form
    725.94/1,088.84 = 355.60/x
  3. Step 3: Cross multiply
    725.94x = 1,088.84 × 355.60
  4. Step 4: Simplify right side
    725.94x = 387,193.75
  5. Step 5: Solve for x
    x = 387,193.75/725.94
  6. Step 6: Final answer
    x = 533.37

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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.