Home / 1,470.14-2,205.20-648.41

Finding the Fourth Proportional to 1,470.14, 2,205.20 and 648.41

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Solution

The fourth proportional to 1,470.14, 2,205.20 and 648.41 is: 972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.14 : 2,205.20 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,470.14/2,205.20 = 648.41/x
  3. Step 3: Cross multiply
    1,470.14x = 2,205.20 × 648.41
  4. Step 4: Simplify right side
    1,470.14x = 1,429,873.73
  5. Step 5: Solve for x
    x = 1,429,873.73/1,470.14
  6. Step 6: Final answer
    x = 972.61

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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.