Home / 1,498.83-2,246.85-766.79

Finding the Fourth Proportional to 1,498.83, 2,246.85 and 766.79

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Solution

The fourth proportional to 1,498.83, 2,246.85 and 766.79 is: 1,149.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.83 : 2,246.85 = 766.79 : x
  2. Step 2: Convert to fraction form
    1,498.83/2,246.85 = 766.79/x
  3. Step 3: Cross multiply
    1,498.83x = 2,246.85 × 766.79
  4. Step 4: Simplify right side
    1,498.83x = 1,722,862.11
  5. Step 5: Solve for x
    x = 1,722,862.11/1,498.83
  6. Step 6: Final answer
    x = 1,149.47

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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.