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Finding the Fourth Proportional to 727.66, 1,089.12 and 480.94

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Solution

The fourth proportional to 727.66, 1,089.12 and 480.94 is: 719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.66 : 1,089.12 = 480.94 : x
  2. Step 2: Convert to fraction form
    727.66/1,089.12 = 480.94/x
  3. Step 3: Cross multiply
    727.66x = 1,089.12 × 480.94
  4. Step 4: Simplify right side
    727.66x = 523,801.37
  5. Step 5: Solve for x
    x = 523,801.37/727.66
  6. Step 6: Final answer
    x = 719.84

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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.