Home / 727.14-1,091.10-316.46

Finding the Fourth Proportional to 727.14, 1,091.10 and 316.46

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Solution

The fourth proportional to 727.14, 1,091.10 and 316.46 is: 474.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,091.10 = 316.46 : x
  2. Step 2: Convert to fraction form
    727.14/1,091.10 = 316.46/x
  3. Step 3: Cross multiply
    727.14x = 1,091.10 × 316.46
  4. Step 4: Simplify right side
    727.14x = 345,289.51
  5. Step 5: Solve for x
    x = 345,289.51/727.14
  6. Step 6: Final answer
    x = 474.86

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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.