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Finding the Fourth Proportional to 902.97, 1,353.56 and 537.93

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Solution

The fourth proportional to 902.97, 1,353.56 and 537.93 is: 806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.97 : 1,353.56 = 537.93 : x
  2. Step 2: Convert to fraction form
    902.97/1,353.56 = 537.93/x
  3. Step 3: Cross multiply
    902.97x = 1,353.56 × 537.93
  4. Step 4: Simplify right side
    902.97x = 728,117.84
  5. Step 5: Solve for x
    x = 728,117.84/902.97
  6. Step 6: Final answer
    x = 806.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.