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Finding the Fourth Proportional to 1,363.66, 2,046.36 and 541.78

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Solution

The fourth proportional to 1,363.66, 2,046.36 and 541.78 is: 813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.66 : 2,046.36 = 541.78 : x
  2. Step 2: Convert to fraction form
    1,363.66/2,046.36 = 541.78/x
  3. Step 3: Cross multiply
    1,363.66x = 2,046.36 × 541.78
  4. Step 4: Simplify right side
    1,363.66x = 1,108,676.92
  5. Step 5: Solve for x
    x = 1,108,676.92/1,363.66
  6. Step 6: Final answer
    x = 813.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.