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Finding the Fourth Proportional to 497.93, 747.54 and 406.82

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Solution

The fourth proportional to 497.93, 747.54 and 406.82 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.93 : 747.54 = 406.82 : x
  2. Step 2: Convert to fraction form
    497.93/747.54 = 406.82/x
  3. Step 3: Cross multiply
    497.93x = 747.54 × 406.82
  4. Step 4: Simplify right side
    497.93x = 304,114.22
  5. Step 5: Solve for x
    x = 304,114.22/497.93
  6. Step 6: Final answer
    x = 610.76

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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.