Home / 1,106.29-1,659.38-284.57

Finding the Fourth Proportional to 1,106.29, 1,659.38 and 284.57

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Solution

The fourth proportional to 1,106.29, 1,659.38 and 284.57 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.29 : 1,659.38 = 284.57 : x
  2. Step 2: Convert to fraction form
    1,106.29/1,659.38 = 284.57/x
  3. Step 3: Cross multiply
    1,106.29x = 1,659.38 × 284.57
  4. Step 4: Simplify right side
    1,106.29x = 472,201.47
  5. Step 5: Solve for x
    x = 472,201.47/1,106.29
  6. Step 6: Final answer
    x = 426.84

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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.