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Finding the Fourth Proportional to 503.09, 694.05 and 316.52

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Solution

The fourth proportional to 503.09, 694.05 and 316.52 is: 436.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.09 : 694.05 = 316.52 : x
  2. Step 2: Convert to fraction form
    503.09/694.05 = 316.52/x
  3. Step 3: Cross multiply
    503.09x = 694.05 × 316.52
  4. Step 4: Simplify right side
    503.09x = 219,677.24
  5. Step 5: Solve for x
    x = 219,677.24/503.09
  6. Step 6: Final answer
    x = 436.66

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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.