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Finding the Fourth Proportional to 836.44, 1,248.89 and 714.64

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Solution

The fourth proportional to 836.44, 1,248.89 and 714.64 is: 1,067.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.44 : 1,248.89 = 714.64 : x
  2. Step 2: Convert to fraction form
    836.44/1,248.89 = 714.64/x
  3. Step 3: Cross multiply
    836.44x = 1,248.89 × 714.64
  4. Step 4: Simplify right side
    836.44x = 892,506.75
  5. Step 5: Solve for x
    x = 892,506.75/836.44
  6. Step 6: Final answer
    x = 1,067.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.