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Finding the Fourth Proportional to 503.30, 694.85 and 316.95

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Solution

The fourth proportional to 503.30, 694.85 and 316.95 is: 437.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.30 : 694.85 = 316.95 : x
  2. Step 2: Convert to fraction form
    503.30/694.85 = 316.95/x
  3. Step 3: Cross multiply
    503.30x = 694.85 × 316.95
  4. Step 4: Simplify right side
    503.30x = 220,227.65
  5. Step 5: Solve for x
    x = 220,227.65/503.30
  6. Step 6: Final answer
    x = 437.57

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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.