Home / 1,380.46-2,070.51-456.61

Finding the Fourth Proportional to 1,380.46, 2,070.51 and 456.61

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Solution

The fourth proportional to 1,380.46, 2,070.51 and 456.61 is: 684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.46 : 2,070.51 = 456.61 : x
  2. Step 2: Convert to fraction form
    1,380.46/2,070.51 = 456.61/x
  3. Step 3: Cross multiply
    1,380.46x = 2,070.51 × 456.61
  4. Step 4: Simplify right side
    1,380.46x = 945,415.57
  5. Step 5: Solve for x
    x = 945,415.57/1,380.46
  6. Step 6: Final answer
    x = 684.86

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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.