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Finding the Fourth Proportional to 1,442.31, 1,990.58 and 882.87

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Solution

The fourth proportional to 1,442.31, 1,990.58 and 882.87 is: 1,218.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.31 : 1,990.58 = 882.87 : x
  2. Step 2: Convert to fraction form
    1,442.31/1,990.58 = 882.87/x
  3. Step 3: Cross multiply
    1,442.31x = 1,990.58 × 882.87
  4. Step 4: Simplify right side
    1,442.31x = 1,757,418.95
  5. Step 5: Solve for x
    x = 1,757,418.95/1,442.31
  6. Step 6: Final answer
    x = 1,218.48

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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.