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Finding the Fourth Proportional to 626.71, 938.14 and 564.75

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Solution

The fourth proportional to 626.71, 938.14 and 564.75 is: 845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.71 : 938.14 = 564.75 : x
  2. Step 2: Convert to fraction form
    626.71/938.14 = 564.75/x
  3. Step 3: Cross multiply
    626.71x = 938.14 × 564.75
  4. Step 4: Simplify right side
    626.71x = 529,809.87
  5. Step 5: Solve for x
    x = 529,809.87/626.71
  6. Step 6: Final answer
    x = 845.38

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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.