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Finding the Fourth Proportional to 881.85, 1,323.61 and 419.95

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Solution

The fourth proportional to 881.85, 1,323.61 and 419.95 is: 630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.85 : 1,323.61 = 419.95 : x
  2. Step 2: Convert to fraction form
    881.85/1,323.61 = 419.95/x
  3. Step 3: Cross multiply
    881.85x = 1,323.61 × 419.95
  4. Step 4: Simplify right side
    881.85x = 555,850.62
  5. Step 5: Solve for x
    x = 555,850.62/881.85
  6. Step 6: Final answer
    x = 630.32

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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.