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Finding the Fourth Proportional to 634.47, 944.22 and 614.22

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Solution

The fourth proportional to 634.47, 944.22 and 614.22 is: 914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.47 : 944.22 = 614.22 : x
  2. Step 2: Convert to fraction form
    634.47/944.22 = 614.22/x
  3. Step 3: Cross multiply
    634.47x = 944.22 × 614.22
  4. Step 4: Simplify right side
    634.47x = 579,958.81
  5. Step 5: Solve for x
    x = 579,958.81/634.47
  6. Step 6: Final answer
    x = 914.08

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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.