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Finding the Fourth Proportional to 881.95, 1,321.15 and 420.17

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Solution

The fourth proportional to 881.95, 1,321.15 and 420.17 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.95 : 1,321.15 = 420.17 : x
  2. Step 2: Convert to fraction form
    881.95/1,321.15 = 420.17/x
  3. Step 3: Cross multiply
    881.95x = 1,321.15 × 420.17
  4. Step 4: Simplify right side
    881.95x = 555,105.49
  5. Step 5: Solve for x
    x = 555,105.49/881.95
  6. Step 6: Final answer
    x = 629.41

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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.