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Finding the Fourth Proportional to 1,432.54, 1,976.36 and 872.63

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Solution

The fourth proportional to 1,432.54, 1,976.36 and 872.63 is: 1,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.54 : 1,976.36 = 872.63 : x
  2. Step 2: Convert to fraction form
    1,432.54/1,976.36 = 872.63/x
  3. Step 3: Cross multiply
    1,432.54x = 1,976.36 × 872.63
  4. Step 4: Simplify right side
    1,432.54x = 1,724,631.03
  5. Step 5: Solve for x
    x = 1,724,631.03/1,432.54
  6. Step 6: Final answer
    x = 1,203.90

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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.