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Finding the Fourth Proportional to 503.68, 694.74 and 296.56

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Solution

The fourth proportional to 503.68, 694.74 and 296.56 is: 409.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.68 : 694.74 = 296.56 : x
  2. Step 2: Convert to fraction form
    503.68/694.74 = 296.56/x
  3. Step 3: Cross multiply
    503.68x = 694.74 × 296.56
  4. Step 4: Simplify right side
    503.68x = 206,032.09
  5. Step 5: Solve for x
    x = 206,032.09/503.68
  6. Step 6: Final answer
    x = 409.05

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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.