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Finding the Fourth Proportional to 923.79, 1,272.36 and 799.46

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Solution

The fourth proportional to 923.79, 1,272.36 and 799.46 is: 1,101.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.79 : 1,272.36 = 799.46 : x
  2. Step 2: Convert to fraction form
    923.79/1,272.36 = 799.46/x
  3. Step 3: Cross multiply
    923.79x = 1,272.36 × 799.46
  4. Step 4: Simplify right side
    923.79x = 1,017,200.93
  5. Step 5: Solve for x
    x = 1,017,200.93/923.79
  6. Step 6: Final answer
    x = 1,101.12

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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.