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Finding the Fourth Proportional to 497.48, 745.61 and 280.61

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Solution

The fourth proportional to 497.48, 745.61 and 280.61 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 745.61 = 280.61 : x
  2. Step 2: Convert to fraction form
    497.48/745.61 = 280.61/x
  3. Step 3: Cross multiply
    497.48x = 745.61 × 280.61
  4. Step 4: Simplify right side
    497.48x = 209,220.49
  5. Step 5: Solve for x
    x = 209,220.49/497.48
  6. Step 6: Final answer
    x = 420.56

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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.