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Finding the Fourth Proportional to 694.67, 1,036.92 and 612.67

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Solution

The fourth proportional to 694.67, 1,036.92 and 612.67 is: 914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.67 : 1,036.92 = 612.67 : x
  2. Step 2: Convert to fraction form
    694.67/1,036.92 = 612.67/x
  3. Step 3: Cross multiply
    694.67x = 1,036.92 × 612.67
  4. Step 4: Simplify right side
    694.67x = 635,289.78
  5. Step 5: Solve for x
    x = 635,289.78/694.67
  6. Step 6: Final answer
    x = 914.52

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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.