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Finding the Fourth Proportional to 500.78, 750.57 and 371.39

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Solution

The fourth proportional to 500.78, 750.57 and 371.39 is: 556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.78 : 750.57 = 371.39 : x
  2. Step 2: Convert to fraction form
    500.78/750.57 = 371.39/x
  3. Step 3: Cross multiply
    500.78x = 750.57 × 371.39
  4. Step 4: Simplify right side
    500.78x = 278,749.05
  5. Step 5: Solve for x
    x = 278,749.05/500.78
  6. Step 6: Final answer
    x = 556.63

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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.