Home / 1,204.28-1,808.40-1,142.72

Finding the Fourth Proportional to 1,204.28, 1,808.40 and 1,142.72

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Solution

The fourth proportional to 1,204.28, 1,808.40 and 1,142.72 is: 1,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.28 : 1,808.40 = 1,142.72 : x
  2. Step 2: Convert to fraction form
    1,204.28/1,808.40 = 1,142.72/x
  3. Step 3: Cross multiply
    1,204.28x = 1,808.40 × 1,142.72
  4. Step 4: Simplify right side
    1,204.28x = 2,066,494.85
  5. Step 5: Solve for x
    x = 2,066,494.85/1,204.28
  6. Step 6: Final answer
    x = 1,715.96

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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.