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Finding the Fourth Proportional to 694.20, 972.60 and 694.20

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Solution

The fourth proportional to 694.20, 972.60 and 694.20 is: 972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 972.60 = 694.20 : x
  2. Step 2: Convert to fraction form
    694.20/972.60 = 694.20/x
  3. Step 3: Cross multiply
    694.20x = 972.60 × 694.20
  4. Step 4: Simplify right side
    694.20x = 675,178.92
  5. Step 5: Solve for x
    x = 675,178.92/694.20
  6. Step 6: Final answer
    x = 972.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.