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Finding the Fourth Proportional to 1,479.95, 2,042.57 and 890.54

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Solution

The fourth proportional to 1,479.95, 2,042.57 and 890.54 is: 1,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.95 : 2,042.57 = 890.54 : x
  2. Step 2: Convert to fraction form
    1,479.95/2,042.57 = 890.54/x
  3. Step 3: Cross multiply
    1,479.95x = 2,042.57 × 890.54
  4. Step 4: Simplify right side
    1,479.95x = 1,818,982.30
  5. Step 5: Solve for x
    x = 1,818,982.30/1,479.95
  6. Step 6: Final answer
    x = 1,229.09

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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.