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Finding the Fourth Proportional to 796.91, 1,101.09 and 632.56

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Solution

The fourth proportional to 796.91, 1,101.09 and 632.56 is: 874.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.91 : 1,101.09 = 632.56 : x
  2. Step 2: Convert to fraction form
    796.91/1,101.09 = 632.56/x
  3. Step 3: Cross multiply
    796.91x = 1,101.09 × 632.56
  4. Step 4: Simplify right side
    796.91x = 696,507.17
  5. Step 5: Solve for x
    x = 696,507.17/796.91
  6. Step 6: Final answer
    x = 874.01

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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.