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Finding the Fourth Proportional to 725.66, 1,088.64 and 360.25

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Solution

The fourth proportional to 725.66, 1,088.64 and 360.25 is: 540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.66 : 1,088.64 = 360.25 : x
  2. Step 2: Convert to fraction form
    725.66/1,088.64 = 360.25/x
  3. Step 3: Cross multiply
    725.66x = 1,088.64 × 360.25
  4. Step 4: Simplify right side
    725.66x = 392,179.84
  5. Step 5: Solve for x
    x = 392,179.84/725.66
  6. Step 6: Final answer
    x = 540.45

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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.