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Finding the Fourth Proportional to 497.03, 745.78 and 253.73

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Solution

The fourth proportional to 497.03, 745.78 and 253.73 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.03 : 745.78 = 253.73 : x
  2. Step 2: Convert to fraction form
    497.03/745.78 = 253.73/x
  3. Step 3: Cross multiply
    497.03x = 745.78 × 253.73
  4. Step 4: Simplify right side
    497.03x = 189,226.76
  5. Step 5: Solve for x
    x = 189,226.76/497.03
  6. Step 6: Final answer
    x = 380.71

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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.