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Finding the Fourth Proportional to 767.14, 1,056.34 and 633.86

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Solution

The fourth proportional to 767.14, 1,056.34 and 633.86 is: 872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,056.34 = 633.86 : x
  2. Step 2: Convert to fraction form
    767.14/1,056.34 = 633.86/x
  3. Step 3: Cross multiply
    767.14x = 1,056.34 × 633.86
  4. Step 4: Simplify right side
    767.14x = 669,571.67
  5. Step 5: Solve for x
    x = 669,571.67/767.14
  6. Step 6: Final answer
    x = 872.82

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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.