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Finding the Fourth Proportional to 696.78, 956.12 and 634.12

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Solution

The fourth proportional to 696.78, 956.12 and 634.12 is: 870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.78 : 956.12 = 634.12 : x
  2. Step 2: Convert to fraction form
    696.78/956.12 = 634.12/x
  3. Step 3: Cross multiply
    696.78x = 956.12 × 634.12
  4. Step 4: Simplify right side
    696.78x = 606,294.81
  5. Step 5: Solve for x
    x = 606,294.81/696.78
  6. Step 6: Final answer
    x = 870.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.