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Finding the Fourth Proportional to 515.38, 773.07 and 400.06

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Solution

The fourth proportional to 515.38, 773.07 and 400.06 is: 600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.38 : 773.07 = 400.06 : x
  2. Step 2: Convert to fraction form
    515.38/773.07 = 400.06/x
  3. Step 3: Cross multiply
    515.38x = 773.07 × 400.06
  4. Step 4: Simplify right side
    515.38x = 309,274.38
  5. Step 5: Solve for x
    x = 309,274.38/515.38
  6. Step 6: Final answer
    x = 600.09

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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.