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Finding the Fourth Proportional to 1,211.53, 1,816.39 and 594.92

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Solution

The fourth proportional to 1,211.53, 1,816.39 and 594.92 is: 891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.53 : 1,816.39 = 594.92 : x
  2. Step 2: Convert to fraction form
    1,211.53/1,816.39 = 594.92/x
  3. Step 3: Cross multiply
    1,211.53x = 1,816.39 × 594.92
  4. Step 4: Simplify right side
    1,211.53x = 1,080,604.41
  5. Step 5: Solve for x
    x = 1,080,604.41/1,211.53
  6. Step 6: Final answer
    x = 891.93

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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.