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Finding the Fourth Proportional to 727.54, 1,091.31 and 316.66

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Solution

The fourth proportional to 727.54, 1,091.31 and 316.66 is: 474.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.54 : 1,091.31 = 316.66 : x
  2. Step 2: Convert to fraction form
    727.54/1,091.31 = 316.66/x
  3. Step 3: Cross multiply
    727.54x = 1,091.31 × 316.66
  4. Step 4: Simplify right side
    727.54x = 345,574.22
  5. Step 5: Solve for x
    x = 345,574.22/727.54
  6. Step 6: Final answer
    x = 474.99

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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.