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Finding the Fourth Proportional to 1,315.78, 1,974.02 and 391.34

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Solution

The fourth proportional to 1,315.78, 1,974.02 and 391.34 is: 587.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.78 : 1,974.02 = 391.34 : x
  2. Step 2: Convert to fraction form
    1,315.78/1,974.02 = 391.34/x
  3. Step 3: Cross multiply
    1,315.78x = 1,974.02 × 391.34
  4. Step 4: Simplify right side
    1,315.78x = 772,515.97
  5. Step 5: Solve for x
    x = 772,515.97/1,315.78
  6. Step 6: Final answer
    x = 587.12

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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.