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Finding the Fourth Proportional to 836.66, 1,153.86 and 541.64

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Solution

The fourth proportional to 836.66, 1,153.86 and 541.64 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.66 : 1,153.86 = 541.64 : x
  2. Step 2: Convert to fraction form
    836.66/1,153.86 = 541.64/x
  3. Step 3: Cross multiply
    836.66x = 1,153.86 × 541.64
  4. Step 4: Simplify right side
    836.66x = 624,976.73
  5. Step 5: Solve for x
    x = 624,976.73/836.66
  6. Step 6: Final answer
    x = 746.99

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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.