Home / 1,480.04-2,042.41-807.86

Finding the Fourth Proportional to 1,480.04, 2,042.41 and 807.86

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Solution

The fourth proportional to 1,480.04, 2,042.41 and 807.86 is: 1,114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.04 : 2,042.41 = 807.86 : x
  2. Step 2: Convert to fraction form
    1,480.04/2,042.41 = 807.86/x
  3. Step 3: Cross multiply
    1,480.04x = 2,042.41 × 807.86
  4. Step 4: Simplify right side
    1,480.04x = 1,649,969.11
  5. Step 5: Solve for x
    x = 1,649,969.11/1,480.04
  6. Step 6: Final answer
    x = 1,114.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.