Home / 727.14-1,089.90-315.66

Finding the Fourth Proportional to 727.14, 1,089.90 and 315.66

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Solution

The fourth proportional to 727.14, 1,089.90 and 315.66 is: 473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,089.90 = 315.66 : x
  2. Step 2: Convert to fraction form
    727.14/1,089.90 = 315.66/x
  3. Step 3: Cross multiply
    727.14x = 1,089.90 × 315.66
  4. Step 4: Simplify right side
    727.14x = 344,037.83
  5. Step 5: Solve for x
    x = 344,037.83/727.14
  6. Step 6: Final answer
    x = 473.14

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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.