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Finding the Fourth Proportional to 694.02, 1,039.52 and 538.74

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Solution

The fourth proportional to 694.02, 1,039.52 and 538.74 is: 806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.02 : 1,039.52 = 538.74 : x
  2. Step 2: Convert to fraction form
    694.02/1,039.52 = 538.74/x
  3. Step 3: Cross multiply
    694.02x = 1,039.52 × 538.74
  4. Step 4: Simplify right side
    694.02x = 560,028.31
  5. Step 5: Solve for x
    x = 560,028.31/694.02
  6. Step 6: Final answer
    x = 806.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.