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Finding the Fourth Proportional to 881.46, 1,321.74 and 418.86

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Solution

The fourth proportional to 881.46, 1,321.74 and 418.86 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.46 : 1,321.74 = 418.86 : x
  2. Step 2: Convert to fraction form
    881.46/1,321.74 = 418.86/x
  3. Step 3: Cross multiply
    881.46x = 1,321.74 × 418.86
  4. Step 4: Simplify right side
    881.46x = 553,624.02
  5. Step 5: Solve for x
    x = 553,624.02/881.46
  6. Step 6: Final answer
    x = 628.08

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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.