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Finding the Fourth Proportional to 1,486.57, 2,229.84 and 391.03

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Solution

The fourth proportional to 1,486.57, 2,229.84 and 391.03 is: 586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.57 : 2,229.84 = 391.03 : x
  2. Step 2: Convert to fraction form
    1,486.57/2,229.84 = 391.03/x
  3. Step 3: Cross multiply
    1,486.57x = 2,229.84 × 391.03
  4. Step 4: Simplify right side
    1,486.57x = 871,934.34
  5. Step 5: Solve for x
    x = 871,934.34/1,486.57
  6. Step 6: Final answer
    x = 586.54

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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.