Home / 1,405.20-2,105.76-538.56

Finding the Fourth Proportional to 1,405.20, 2,105.76 and 538.56

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Solution

The fourth proportional to 1,405.20, 2,105.76 and 538.56 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.20 : 2,105.76 = 538.56 : x
  2. Step 2: Convert to fraction form
    1,405.20/2,105.76 = 538.56/x
  3. Step 3: Cross multiply
    1,405.20x = 2,105.76 × 538.56
  4. Step 4: Simplify right side
    1,405.20x = 1,134,078.11
  5. Step 5: Solve for x
    x = 1,134,078.11/1,405.20
  6. Step 6: Final answer
    x = 807.06

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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.