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Finding the Fourth Proportional to 1,512.28, 2,266.62 and 537.64

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Solution

The fourth proportional to 1,512.28, 2,266.62 and 537.64 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.28 : 2,266.62 = 537.64 : x
  2. Step 2: Convert to fraction form
    1,512.28/2,266.62 = 537.64/x
  3. Step 3: Cross multiply
    1,512.28x = 2,266.62 × 537.64
  4. Step 4: Simplify right side
    1,512.28x = 1,218,625.58
  5. Step 5: Solve for x
    x = 1,218,625.58/1,512.28
  6. Step 6: Final answer
    x = 805.82

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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.