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Finding the Fourth Proportional to 922, 1,383.72 and 537.52

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Solution

The fourth proportional to 922, 1,383.72 and 537.52 is: 806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    922 : 1,383.72 = 537.52 : x
  2. Step 2: Convert to fraction form
    922/1,383.72 = 537.52/x
  3. Step 3: Cross multiply
    922x = 1,383.72 × 537.52
  4. Step 4: Simplify right side
    922x = 743,777.17
  5. Step 5: Solve for x
    x = 743,777.17/922
  6. Step 6: Final answer
    x = 806.70

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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.