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Finding the Fourth Proportional to 502.69, 693.65 and 292.93

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Solution

The fourth proportional to 502.69, 693.65 and 292.93 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 693.65 = 292.93 : x
  2. Step 2: Convert to fraction form
    502.69/693.65 = 292.93/x
  3. Step 3: Cross multiply
    502.69x = 693.65 × 292.93
  4. Step 4: Simplify right side
    502.69x = 203,190.89
  5. Step 5: Solve for x
    x = 203,190.89/502.69
  6. Step 6: Final answer
    x = 404.21

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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.