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Finding the Fourth Proportional to 921.88, 1,383.26 and 537.16

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Solution

The fourth proportional to 921.88, 1,383.26 and 537.16 is: 806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,383.26 = 537.16 : x
  2. Step 2: Convert to fraction form
    921.88/1,383.26 = 537.16/x
  3. Step 3: Cross multiply
    921.88x = 1,383.26 × 537.16
  4. Step 4: Simplify right side
    921.88x = 743,031.94
  5. Step 5: Solve for x
    x = 743,031.94/921.88
  6. Step 6: Final answer
    x = 806.00

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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.