Home / 2,280.25-3,420.71-719.73

Finding the Fourth Proportional to 2,280.25, 3,420.71 and 719.73

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Solution

The fourth proportional to 2,280.25, 3,420.71 and 719.73 is: 1,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.25 : 3,420.71 = 719.73 : x
  2. Step 2: Convert to fraction form
    2,280.25/3,420.71 = 719.73/x
  3. Step 3: Cross multiply
    2,280.25x = 3,420.71 × 719.73
  4. Step 4: Simplify right side
    2,280.25x = 2,461,987.61
  5. Step 5: Solve for x
    x = 2,461,987.61/2,280.25
  6. Step 6: Final answer
    x = 1,079.70

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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.