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Finding the Fourth Proportional to 922.21, 1,272.73 and 688.93

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Solution

The fourth proportional to 922.21, 1,272.73 and 688.93 is: 950.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.21 : 1,272.73 = 688.93 : x
  2. Step 2: Convert to fraction form
    922.21/1,272.73 = 688.93/x
  3. Step 3: Cross multiply
    922.21x = 1,272.73 × 688.93
  4. Step 4: Simplify right side
    922.21x = 876,821.88
  5. Step 5: Solve for x
    x = 876,821.88/922.21
  6. Step 6: Final answer
    x = 950.78

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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.