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Finding the Fourth Proportional to 497.96, 749.96 and 421.46

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Solution

The fourth proportional to 497.96, 749.96 and 421.46 is: 634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.96 : 749.96 = 421.46 : x
  2. Step 2: Convert to fraction form
    497.96/749.96 = 421.46/x
  3. Step 3: Cross multiply
    497.96x = 749.96 × 421.46
  4. Step 4: Simplify right side
    497.96x = 316,078.14
  5. Step 5: Solve for x
    x = 316,078.14/497.96
  6. Step 6: Final answer
    x = 634.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.