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Finding the Fourth Proportional to 921.67, 1,272.24 and 548.77

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Solution

The fourth proportional to 921.67, 1,272.24 and 548.77 is: 757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.67 : 1,272.24 = 548.77 : x
  2. Step 2: Convert to fraction form
    921.67/1,272.24 = 548.77/x
  3. Step 3: Cross multiply
    921.67x = 1,272.24 × 548.77
  4. Step 4: Simplify right side
    921.67x = 698,167.14
  5. Step 5: Solve for x
    x = 698,167.14/921.67
  6. Step 6: Final answer
    x = 757.50

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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.