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Finding the Fourth Proportional to 503.81, 694.74 and 393.10

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Solution

The fourth proportional to 503.81, 694.74 and 393.10 is: 542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.81 : 694.74 = 393.10 : x
  2. Step 2: Convert to fraction form
    503.81/694.74 = 393.10/x
  3. Step 3: Cross multiply
    503.81x = 694.74 × 393.10
  4. Step 4: Simplify right side
    503.81x = 273,102.29
  5. Step 5: Solve for x
    x = 273,102.29/503.81
  6. Step 6: Final answer
    x = 542.07

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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.