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Finding the Fourth Proportional to 836.42, 1,249.53 and 541.51

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Solution

The fourth proportional to 836.42, 1,249.53 and 541.51 is: 808.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.42 : 1,249.53 = 541.51 : x
  2. Step 2: Convert to fraction form
    836.42/1,249.53 = 541.51/x
  3. Step 3: Cross multiply
    836.42x = 1,249.53 × 541.51
  4. Step 4: Simplify right side
    836.42x = 676,636.58
  5. Step 5: Solve for x
    x = 676,636.58/836.42
  6. Step 6: Final answer
    x = 808.97

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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.