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Finding the Fourth Proportional to 1,479.97, 2,042.31 and 890.20

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Solution

The fourth proportional to 1,479.97, 2,042.31 and 890.20 is: 1,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.97 : 2,042.31 = 890.20 : x
  2. Step 2: Convert to fraction form
    1,479.97/2,042.31 = 890.20/x
  3. Step 3: Cross multiply
    1,479.97x = 2,042.31 × 890.20
  4. Step 4: Simplify right side
    1,479.97x = 1,818,064.36
  5. Step 5: Solve for x
    x = 1,818,064.36/1,479.97
  6. Step 6: Final answer
    x = 1,228.45

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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.