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Finding the Fourth Proportional to 1,315.85, 1,974.07 and 391.43

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Solution

The fourth proportional to 1,315.85, 1,974.07 and 391.43 is: 587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.85 : 1,974.07 = 391.43 : x
  2. Step 2: Convert to fraction form
    1,315.85/1,974.07 = 391.43/x
  3. Step 3: Cross multiply
    1,315.85x = 1,974.07 × 391.43
  4. Step 4: Simplify right side
    1,315.85x = 772,715.64
  5. Step 5: Solve for x
    x = 772,715.64/1,315.85
  6. Step 6: Final answer
    x = 587.24

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1.5x scale

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.