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Finding the Fourth Proportional to 836.16, 1,154.12 and 541.44

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Solution

The fourth proportional to 836.16, 1,154.12 and 541.44 is: 747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.16 : 1,154.12 = 541.44 : x
  2. Step 2: Convert to fraction form
    836.16/1,154.12 = 541.44/x
  3. Step 3: Cross multiply
    836.16x = 1,154.12 × 541.44
  4. Step 4: Simplify right side
    836.16x = 624,886.73
  5. Step 5: Solve for x
    x = 624,886.73/836.16
  6. Step 6: Final answer
    x = 747.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.