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Finding the Fourth Proportional to 1,362.90, 2,044.05 and 541.36

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Solution

The fourth proportional to 1,362.90, 2,044.05 and 541.36 is: 811.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.90 : 2,044.05 = 541.36 : x
  2. Step 2: Convert to fraction form
    1,362.90/2,044.05 = 541.36/x
  3. Step 3: Cross multiply
    1,362.90x = 2,044.05 × 541.36
  4. Step 4: Simplify right side
    1,362.90x = 1,106,566.91
  5. Step 5: Solve for x
    x = 1,106,566.91/1,362.90
  6. Step 6: Final answer
    x = 811.92

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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.