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Finding the Fourth Proportional to 837.12, 1,254.78 and 446.88

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Solution

The fourth proportional to 837.12, 1,254.78 and 446.88 is: 669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,254.78 = 446.88 : x
  2. Step 2: Convert to fraction form
    837.12/1,254.78 = 446.88/x
  3. Step 3: Cross multiply
    837.12x = 1,254.78 × 446.88
  4. Step 4: Simplify right side
    837.12x = 560,729.81
  5. Step 5: Solve for x
    x = 560,729.81/837.12
  6. Step 6: Final answer
    x = 669.84

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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.