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Finding the Fourth Proportional to 502.86, 754.59 and 259.47

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Solution

The fourth proportional to 502.86, 754.59 and 259.47 is: 389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 754.59 = 259.47 : x
  2. Step 2: Convert to fraction form
    502.86/754.59 = 259.47/x
  3. Step 3: Cross multiply
    502.86x = 754.59 × 259.47
  4. Step 4: Simplify right side
    502.86x = 195,793.47
  5. Step 5: Solve for x
    x = 195,793.47/502.86
  6. Step 6: Final answer
    x = 389.36

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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.