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Finding the Fourth Proportional to 660.78, 911.04 and 542.34

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Solution

The fourth proportional to 660.78, 911.04 and 542.34 is: 747.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 911.04 = 542.34 : x
  2. Step 2: Convert to fraction form
    660.78/911.04 = 542.34/x
  3. Step 3: Cross multiply
    660.78x = 911.04 × 542.34
  4. Step 4: Simplify right side
    660.78x = 494,093.43
  5. Step 5: Solve for x
    x = 494,093.43/660.78
  6. Step 6: Final answer
    x = 747.74

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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.