Home / 1,314.42-1,974.51-801.78

Finding the Fourth Proportional to 1,314.42, 1,974.51 and 801.78

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Solution

The fourth proportional to 1,314.42, 1,974.51 and 801.78 is: 1,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.42 : 1,974.51 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,314.42/1,974.51 = 801.78/x
  3. Step 3: Cross multiply
    1,314.42x = 1,974.51 × 801.78
  4. Step 4: Simplify right side
    1,314.42x = 1,583,122.63
  5. Step 5: Solve for x
    x = 1,583,122.63/1,314.42
  6. Step 6: Final answer
    x = 1,204.43

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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.