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Finding the Fourth Proportional to 503.34, 694.38 and 306.51

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Solution

The fourth proportional to 503.34, 694.38 and 306.51 is: 422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.34 : 694.38 = 306.51 : x
  2. Step 2: Convert to fraction form
    503.34/694.38 = 306.51/x
  3. Step 3: Cross multiply
    503.34x = 694.38 × 306.51
  4. Step 4: Simplify right side
    503.34x = 212,834.41
  5. Step 5: Solve for x
    x = 212,834.41/503.34
  6. Step 6: Final answer
    x = 422.84

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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.