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Finding the Fourth Proportional to 1,838.80, 2,758.20 and 540.46

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Solution

The fourth proportional to 1,838.80, 2,758.20 and 540.46 is: 810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.80 : 2,758.20 = 540.46 : x
  2. Step 2: Convert to fraction form
    1,838.80/2,758.20 = 540.46/x
  3. Step 3: Cross multiply
    1,838.80x = 2,758.20 × 540.46
  4. Step 4: Simplify right side
    1,838.80x = 1,490,696.77
  5. Step 5: Solve for x
    x = 1,490,696.77/1,838.80
  6. Step 6: Final answer
    x = 810.69

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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.