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Finding the Fourth Proportional to 767.10, 1,057.14 and 633.87

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Solution

The fourth proportional to 767.10, 1,057.14 and 633.87 is: 873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.10 : 1,057.14 = 633.87 : x
  2. Step 2: Convert to fraction form
    767.10/1,057.14 = 633.87/x
  3. Step 3: Cross multiply
    767.10x = 1,057.14 × 633.87
  4. Step 4: Simplify right side
    767.10x = 670,089.33
  5. Step 5: Solve for x
    x = 670,089.33/767.10
  6. Step 6: Final answer
    x = 873.54

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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.