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Finding the Fourth Proportional to 502.86, 693.96 and 378.66

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Solution

The fourth proportional to 502.86, 693.96 and 378.66 is: 522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 693.96 = 378.66 : x
  2. Step 2: Convert to fraction form
    502.86/693.96 = 378.66/x
  3. Step 3: Cross multiply
    502.86x = 693.96 × 378.66
  4. Step 4: Simplify right side
    502.86x = 262,774.89
  5. Step 5: Solve for x
    x = 262,774.89/502.86
  6. Step 6: Final answer
    x = 522.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.