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Finding the Fourth Proportional to 502.60, 693.45 and 292.66

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Solution

The fourth proportional to 502.60, 693.45 and 292.66 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.60 : 693.45 = 292.66 : x
  2. Step 2: Convert to fraction form
    502.60/693.45 = 292.66/x
  3. Step 3: Cross multiply
    502.60x = 693.45 × 292.66
  4. Step 4: Simplify right side
    502.60x = 202,945.08
  5. Step 5: Solve for x
    x = 202,945.08/502.60
  6. Step 6: Final answer
    x = 403.79

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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.