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Finding the Fourth Proportional to 694.11, 1,045.03 and 512.80

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Solution

The fourth proportional to 694.11, 1,045.03 and 512.80 is: 772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.11 : 1,045.03 = 512.80 : x
  2. Step 2: Convert to fraction form
    694.11/1,045.03 = 512.80/x
  3. Step 3: Cross multiply
    694.11x = 1,045.03 × 512.80
  4. Step 4: Simplify right side
    694.11x = 535,891.38
  5. Step 5: Solve for x
    x = 535,891.38/694.11
  6. Step 6: Final answer
    x = 772.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.