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Finding the Fourth Proportional to 503.72, 694.98 and 338.18

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Solution

The fourth proportional to 503.72, 694.98 and 338.18 is: 466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.72 : 694.98 = 338.18 : x
  2. Step 2: Convert to fraction form
    503.72/694.98 = 338.18/x
  3. Step 3: Cross multiply
    503.72x = 694.98 × 338.18
  4. Step 4: Simplify right side
    503.72x = 235,024.86
  5. Step 5: Solve for x
    x = 235,024.86/503.72
  6. Step 6: Final answer
    x = 466.58

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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.