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Finding the Fourth Proportional to 920.97, 1,271.09 and 548.17

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Solution

The fourth proportional to 920.97, 1,271.09 and 548.17 is: 756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.97 : 1,271.09 = 548.17 : x
  2. Step 2: Convert to fraction form
    920.97/1,271.09 = 548.17/x
  3. Step 3: Cross multiply
    920.97x = 1,271.09 × 548.17
  4. Step 4: Simplify right side
    920.97x = 696,771.60
  5. Step 5: Solve for x
    x = 696,771.60/920.97
  6. Step 6: Final answer
    x = 756.56

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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.