Home / 1,368.27-2,053.41-546.78

Finding the Fourth Proportional to 1,368.27, 2,053.41 and 546.78

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Solution

The fourth proportional to 1,368.27, 2,053.41 and 546.78 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.27 : 2,053.41 = 546.78 : x
  2. Step 2: Convert to fraction form
    1,368.27/2,053.41 = 546.78/x
  3. Step 3: Cross multiply
    1,368.27x = 2,053.41 × 546.78
  4. Step 4: Simplify right side
    1,368.27x = 1,122,763.52
  5. Step 5: Solve for x
    x = 1,122,763.52/1,368.27
  6. Step 6: Final answer
    x = 820.57

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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.