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Finding the Fourth Proportional to 502.74, 754.11 and 297.06

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Solution

The fourth proportional to 502.74, 754.11 and 297.06 is: 445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.74 : 754.11 = 297.06 : x
  2. Step 2: Convert to fraction form
    502.74/754.11 = 297.06/x
  3. Step 3: Cross multiply
    502.74x = 754.11 × 297.06
  4. Step 4: Simplify right side
    502.74x = 224,015.92
  5. Step 5: Solve for x
    x = 224,015.92/502.74
  6. Step 6: Final answer
    x = 445.59

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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.