Home / 1,126.28-1,688.74-541.46

Finding the Fourth Proportional to 1,126.28, 1,688.74 and 541.46

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Solution

The fourth proportional to 1,126.28, 1,688.74 and 541.46 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.28 : 1,688.74 = 541.46 : x
  2. Step 2: Convert to fraction form
    1,126.28/1,688.74 = 541.46/x
  3. Step 3: Cross multiply
    1,126.28x = 1,688.74 × 541.46
  4. Step 4: Simplify right side
    1,126.28x = 914,388.03
  5. Step 5: Solve for x
    x = 914,388.03/1,126.28
  6. Step 6: Final answer
    x = 811.86

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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.