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Finding the Fourth Proportional to 632.36, 867.94 and 560.84

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Solution

The fourth proportional to 632.36, 867.94 and 560.84 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.36 : 867.94 = 560.84 : x
  2. Step 2: Convert to fraction form
    632.36/867.94 = 560.84/x
  3. Step 3: Cross multiply
    632.36x = 867.94 × 560.84
  4. Step 4: Simplify right side
    632.36x = 486,769.73
  5. Step 5: Solve for x
    x = 486,769.73/632.36
  6. Step 6: Final answer
    x = 769.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.