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Finding the Fourth Proportional to 1,442.66, 1,990.72 and 813.09

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Solution

The fourth proportional to 1,442.66, 1,990.72 and 813.09 is: 1,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.66 : 1,990.72 = 813.09 : x
  2. Step 2: Convert to fraction form
    1,442.66/1,990.72 = 813.09/x
  3. Step 3: Cross multiply
    1,442.66x = 1,990.72 × 813.09
  4. Step 4: Simplify right side
    1,442.66x = 1,618,634.52
  5. Step 5: Solve for x
    x = 1,618,634.52/1,442.66
  6. Step 6: Final answer
    x = 1,121.98

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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.