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Finding the Fourth Proportional to 1,361.57, 2,042.62 and 970.61

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Solution

The fourth proportional to 1,361.57, 2,042.62 and 970.61 is: 1,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.57 : 2,042.62 = 970.61 : x
  2. Step 2: Convert to fraction form
    1,361.57/2,042.62 = 970.61/x
  3. Step 3: Cross multiply
    1,361.57x = 2,042.62 × 970.61
  4. Step 4: Simplify right side
    1,361.57x = 1,982,574.76
  5. Step 5: Solve for x
    x = 1,982,574.76/1,361.57
  6. Step 6: Final answer
    x = 1,456.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.