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Finding the Fourth Proportional to 503.92, 694.47 and 393.22

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Solution

The fourth proportional to 503.92, 694.47 and 393.22 is: 541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.92 : 694.47 = 393.22 : x
  2. Step 2: Convert to fraction form
    503.92/694.47 = 393.22/x
  3. Step 3: Cross multiply
    503.92x = 694.47 × 393.22
  4. Step 4: Simplify right side
    503.92x = 273,079.49
  5. Step 5: Solve for x
    x = 273,079.49/503.92
  6. Step 6: Final answer
    x = 541.91

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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.