Home / 1,213.38-1,821.69-564.57

Finding the Fourth Proportional to 1,213.38, 1,821.69 and 564.57

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Solution

The fourth proportional to 1,213.38, 1,821.69 and 564.57 is: 847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.38 : 1,821.69 = 564.57 : x
  2. Step 2: Convert to fraction form
    1,213.38/1,821.69 = 564.57/x
  3. Step 3: Cross multiply
    1,213.38x = 1,821.69 × 564.57
  4. Step 4: Simplify right side
    1,213.38x = 1,028,471.52
  5. Step 5: Solve for x
    x = 1,028,471.52/1,213.38
  6. Step 6: Final answer
    x = 847.61

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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.