Home / 1,119.28-1,678.68-297.52

Finding the Fourth Proportional to 1,119.28, 1,678.68 and 297.52

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Solution

The fourth proportional to 1,119.28, 1,678.68 and 297.52 is: 446.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.28 : 1,678.68 = 297.52 : x
  2. Step 2: Convert to fraction form
    1,119.28/1,678.68 = 297.52/x
  3. Step 3: Cross multiply
    1,119.28x = 1,678.68 × 297.52
  4. Step 4: Simplify right side
    1,119.28x = 499,440.87
  5. Step 5: Solve for x
    x = 499,440.87/1,119.28
  6. Step 6: Final answer
    x = 446.22

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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.