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Finding the Fourth Proportional to 599.78, 827.75 and 375.87

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Solution

The fourth proportional to 599.78, 827.75 and 375.87 is: 518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 827.75 = 375.87 : x
  2. Step 2: Convert to fraction form
    599.78/827.75 = 375.87/x
  3. Step 3: Cross multiply
    599.78x = 827.75 × 375.87
  4. Step 4: Simplify right side
    599.78x = 311,124.51
  5. Step 5: Solve for x
    x = 311,124.51/599.78
  6. Step 6: Final answer
    x = 518.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.