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Finding the Fourth Proportional to 502.96, 754.89 and 259.66

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Solution

The fourth proportional to 502.96, 754.89 and 259.66 is: 389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 754.89 = 259.66 : x
  2. Step 2: Convert to fraction form
    502.96/754.89 = 259.66/x
  3. Step 3: Cross multiply
    502.96x = 754.89 × 259.66
  4. Step 4: Simplify right side
    502.96x = 196,014.74
  5. Step 5: Solve for x
    x = 196,014.74/502.96
  6. Step 6: Final answer
    x = 389.72

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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.