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Finding the Fourth Proportional to 502.80, 694.19 and 316.55

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Solution

The fourth proportional to 502.80, 694.19 and 316.55 is: 437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 694.19 = 316.55 : x
  2. Step 2: Convert to fraction form
    502.80/694.19 = 316.55/x
  3. Step 3: Cross multiply
    502.80x = 694.19 × 316.55
  4. Step 4: Simplify right side
    502.80x = 219,740.79
  5. Step 5: Solve for x
    x = 219,740.79/502.80
  6. Step 6: Final answer
    x = 437.03

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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.