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Finding the Fourth Proportional to 656.43, 986.00 and 634.56

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Solution

The fourth proportional to 656.43, 986.00 and 634.56 is: 953.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.43 : 986.00 = 634.56 : x
  2. Step 2: Convert to fraction form
    656.43/986.00 = 634.56/x
  3. Step 3: Cross multiply
    656.43x = 986.00 × 634.56
  4. Step 4: Simplify right side
    656.43x = 625,669.29
  5. Step 5: Solve for x
    x = 625,669.29/656.43
  6. Step 6: Final answer
    x = 953.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.