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Finding the Fourth Proportional to 694.33, 1,036.41 and 612.31

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Solution

The fourth proportional to 694.33, 1,036.41 and 612.31 is: 913.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.33 : 1,036.41 = 612.31 : x
  2. Step 2: Convert to fraction form
    694.33/1,036.41 = 612.31/x
  3. Step 3: Cross multiply
    694.33x = 1,036.41 × 612.31
  4. Step 4: Simplify right side
    694.33x = 634,604.21
  5. Step 5: Solve for x
    x = 634,604.21/694.33
  6. Step 6: Final answer
    x = 913.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.