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Finding the Fourth Proportional to 694.17, 956.61 and 528.12

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Solution

The fourth proportional to 694.17, 956.61 and 528.12 is: 727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.17 : 956.61 = 528.12 : x
  2. Step 2: Convert to fraction form
    694.17/956.61 = 528.12/x
  3. Step 3: Cross multiply
    694.17x = 956.61 × 528.12
  4. Step 4: Simplify right side
    694.17x = 505,204.87
  5. Step 5: Solve for x
    x = 505,204.87/694.17
  6. Step 6: Final answer
    x = 727.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.