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Finding the Fourth Proportional to 626.07, 938.53 and 382.07

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Solution

The fourth proportional to 626.07, 938.53 and 382.07 is: 572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.07 : 938.53 = 382.07 : x
  2. Step 2: Convert to fraction form
    626.07/938.53 = 382.07/x
  3. Step 3: Cross multiply
    626.07x = 938.53 × 382.07
  4. Step 4: Simplify right side
    626.07x = 358,584.16
  5. Step 5: Solve for x
    x = 358,584.16/626.07
  6. Step 6: Final answer
    x = 572.75

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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.