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Finding the Fourth Proportional to 762.52, 1,144.35 and 372.73

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Solution

The fourth proportional to 762.52, 1,144.35 and 372.73 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.52 : 1,144.35 = 372.73 : x
  2. Step 2: Convert to fraction form
    762.52/1,144.35 = 372.73/x
  3. Step 3: Cross multiply
    762.52x = 1,144.35 × 372.73
  4. Step 4: Simplify right side
    762.52x = 426,533.58
  5. Step 5: Solve for x
    x = 426,533.58/762.52
  6. Step 6: Final answer
    x = 559.37

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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.