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Finding the Fourth Proportional to 497.11, 746.80 and 351.19

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Solution

The fourth proportional to 497.11, 746.80 and 351.19 is: 527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.11 : 746.80 = 351.19 : x
  2. Step 2: Convert to fraction form
    497.11/746.80 = 351.19/x
  3. Step 3: Cross multiply
    497.11x = 746.80 × 351.19
  4. Step 4: Simplify right side
    497.11x = 262,268.69
  5. Step 5: Solve for x
    x = 262,268.69/497.11
  6. Step 6: Final answer
    x = 527.59

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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.