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Finding the Fourth Proportional to 842.49, 1,160.73 and 632.34

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Solution

The fourth proportional to 842.49, 1,160.73 and 632.34 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.49 : 1,160.73 = 632.34 : x
  2. Step 2: Convert to fraction form
    842.49/1,160.73 = 632.34/x
  3. Step 3: Cross multiply
    842.49x = 1,160.73 × 632.34
  4. Step 4: Simplify right side
    842.49x = 733,976.01
  5. Step 5: Solve for x
    x = 733,976.01/842.49
  6. Step 6: Final answer
    x = 871.20

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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.