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Finding the Fourth Proportional to 881.42, 1,320.41 and 418.54

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Solution

The fourth proportional to 881.42, 1,320.41 and 418.54 is: 626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.42 : 1,320.41 = 418.54 : x
  2. Step 2: Convert to fraction form
    881.42/1,320.41 = 418.54/x
  3. Step 3: Cross multiply
    881.42x = 1,320.41 × 418.54
  4. Step 4: Simplify right side
    881.42x = 552,644.40
  5. Step 5: Solve for x
    x = 552,644.40/881.42
  6. Step 6: Final answer
    x = 626.99

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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.