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Finding the Fourth Proportional to 1,342.32, 2,012.81 and 787.23

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Solution

The fourth proportional to 1,342.32, 2,012.81 and 787.23 is: 1,180.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.32 : 2,012.81 = 787.23 : x
  2. Step 2: Convert to fraction form
    1,342.32/2,012.81 = 787.23/x
  3. Step 3: Cross multiply
    1,342.32x = 2,012.81 × 787.23
  4. Step 4: Simplify right side
    1,342.32x = 1,584,540.48
  5. Step 5: Solve for x
    x = 1,584,540.48/1,342.32
  6. Step 6: Final answer
    x = 1,180.45

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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.