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Finding the Fourth Proportional to 1,442.62, 1,990.67 and 813.13

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Solution

The fourth proportional to 1,442.62, 1,990.67 and 813.13 is: 1,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.62 : 1,990.67 = 813.13 : x
  2. Step 2: Convert to fraction form
    1,442.62/1,990.67 = 813.13/x
  3. Step 3: Cross multiply
    1,442.62x = 1,990.67 × 813.13
  4. Step 4: Simplify right side
    1,442.62x = 1,618,675.65
  5. Step 5: Solve for x
    x = 1,618,675.65/1,442.62
  6. Step 6: Final answer
    x = 1,122.04

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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.