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Finding the Fourth Proportional to 1,315.92, 1,974.26 and 391.49

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Solution

The fourth proportional to 1,315.92, 1,974.26 and 391.49 is: 587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.92 : 1,974.26 = 391.49 : x
  2. Step 2: Convert to fraction form
    1,315.92/1,974.26 = 391.49/x
  3. Step 3: Cross multiply
    1,315.92x = 1,974.26 × 391.49
  4. Step 4: Simplify right side
    1,315.92x = 772,903.05
  5. Step 5: Solve for x
    x = 772,903.05/1,315.92
  6. Step 6: Final answer
    x = 587.35

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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.