Home / 1,380.24-2,070.34-502.74

Finding the Fourth Proportional to 1,380.24, 2,070.34 and 502.74

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Solution

The fourth proportional to 1,380.24, 2,070.34 and 502.74 is: 754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.24 : 2,070.34 = 502.74 : x
  2. Step 2: Convert to fraction form
    1,380.24/2,070.34 = 502.74/x
  3. Step 3: Cross multiply
    1,380.24x = 2,070.34 × 502.74
  4. Step 4: Simplify right side
    1,380.24x = 1,040,842.73
  5. Step 5: Solve for x
    x = 1,040,842.73/1,380.24
  6. Step 6: Final answer
    x = 754.10

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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.