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Finding the Fourth Proportional to 503.41, 694.68 and 293.57

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Solution

The fourth proportional to 503.41, 694.68 and 293.57 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.41 : 694.68 = 293.57 : x
  2. Step 2: Convert to fraction form
    503.41/694.68 = 293.57/x
  3. Step 3: Cross multiply
    503.41x = 694.68 × 293.57
  4. Step 4: Simplify right side
    503.41x = 203,937.21
  5. Step 5: Solve for x
    x = 203,937.21/503.41
  6. Step 6: Final answer
    x = 405.11

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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.