Home / 1,447.86-2,172.20-582.78

Finding the Fourth Proportional to 1,447.86, 2,172.20 and 582.78

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Solution

The fourth proportional to 1,447.86, 2,172.20 and 582.78 is: 874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.86 : 2,172.20 = 582.78 : x
  2. Step 2: Convert to fraction form
    1,447.86/2,172.20 = 582.78/x
  3. Step 3: Cross multiply
    1,447.86x = 2,172.20 × 582.78
  4. Step 4: Simplify right side
    1,447.86x = 1,265,914.72
  5. Step 5: Solve for x
    x = 1,265,914.72/1,447.86
  6. Step 6: Final answer
    x = 874.34

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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.