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Finding the Fourth Proportional to 836.43, 1,153.98 and 541.50

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Solution

The fourth proportional to 836.43, 1,153.98 and 541.50 is: 747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.43 : 1,153.98 = 541.50 : x
  2. Step 2: Convert to fraction form
    836.43/1,153.98 = 541.50/x
  3. Step 3: Cross multiply
    836.43x = 1,153.98 × 541.50
  4. Step 4: Simplify right side
    836.43x = 624,880.17
  5. Step 5: Solve for x
    x = 624,880.17/836.43
  6. Step 6: Final answer
    x = 747.08

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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.