Home / 1,122.12-1,682.16-391.20

Finding the Fourth Proportional to 1,122.12, 1,682.16 and 391.20

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Solution

The fourth proportional to 1,122.12, 1,682.16 and 391.20 is: 586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.12 : 1,682.16 = 391.20 : x
  2. Step 2: Convert to fraction form
    1,122.12/1,682.16 = 391.20/x
  3. Step 3: Cross multiply
    1,122.12x = 1,682.16 × 391.20
  4. Step 4: Simplify right side
    1,122.12x = 658,060.99
  5. Step 5: Solve for x
    x = 658,060.99/1,122.12
  6. Step 6: Final answer
    x = 586.44

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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.