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Finding the Fourth Proportional to 727.54, 1,089.78 and 480.28

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Solution

The fourth proportional to 727.54, 1,089.78 and 480.28 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.54 : 1,089.78 = 480.28 : x
  2. Step 2: Convert to fraction form
    727.54/1,089.78 = 480.28/x
  3. Step 3: Cross multiply
    727.54x = 1,089.78 × 480.28
  4. Step 4: Simplify right side
    727.54x = 523,399.54
  5. Step 5: Solve for x
    x = 523,399.54/727.54
  6. Step 6: Final answer
    x = 719.41

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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.