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Finding the Fourth Proportional to 502.80, 693.64 and 316.19

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Solution

The fourth proportional to 502.80, 693.64 and 316.19 is: 436.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.80 : 693.64 = 316.19 : x
  2. Step 2: Convert to fraction form
    502.80/693.64 = 316.19/x
  3. Step 3: Cross multiply
    502.80x = 693.64 × 316.19
  4. Step 4: Simplify right side
    502.80x = 219,322.98
  5. Step 5: Solve for x
    x = 219,322.98/502.80
  6. Step 6: Final answer
    x = 436.20

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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.