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Finding the Fourth Proportional to 727.15, 1,089.03 and 360.76

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Solution

The fourth proportional to 727.15, 1,089.03 and 360.76 is: 540.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.15 : 1,089.03 = 360.76 : x
  2. Step 2: Convert to fraction form
    727.15/1,089.03 = 360.76/x
  3. Step 3: Cross multiply
    727.15x = 1,089.03 × 360.76
  4. Step 4: Simplify right side
    727.15x = 392,878.46
  5. Step 5: Solve for x
    x = 392,878.46/727.15
  6. Step 6: Final answer
    x = 540.30

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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.