Home / 1,316.71-1,974.25-768.61

Finding the Fourth Proportional to 1,316.71, 1,974.25 and 768.61

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Solution

The fourth proportional to 1,316.71, 1,974.25 and 768.61 is: 1,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.71 : 1,974.25 = 768.61 : x
  2. Step 2: Convert to fraction form
    1,316.71/1,974.25 = 768.61/x
  3. Step 3: Cross multiply
    1,316.71x = 1,974.25 × 768.61
  4. Step 4: Simplify right side
    1,316.71x = 1,517,428.29
  5. Step 5: Solve for x
    x = 1,517,428.29/1,316.71
  6. Step 6: Final answer
    x = 1,152.44

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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.