Home / 1,118.28-1,678.40-541.20

Finding the Fourth Proportional to 1,118.28, 1,678.40 and 541.20

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Solution

The fourth proportional to 1,118.28, 1,678.40 and 541.20 is: 812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.28 : 1,678.40 = 541.20 : x
  2. Step 2: Convert to fraction form
    1,118.28/1,678.40 = 541.20/x
  3. Step 3: Cross multiply
    1,118.28x = 1,678.40 × 541.20
  4. Step 4: Simplify right side
    1,118.28x = 908,350.08
  5. Step 5: Solve for x
    x = 908,350.08/1,118.28
  6. Step 6: Final answer
    x = 812.27

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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.