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Finding the Fourth Proportional to 599.78, 826.71 and 468.56

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Solution

The fourth proportional to 599.78, 826.71 and 468.56 is: 645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 826.71 = 468.56 : x
  2. Step 2: Convert to fraction form
    599.78/826.71 = 468.56/x
  3. Step 3: Cross multiply
    599.78x = 826.71 × 468.56
  4. Step 4: Simplify right side
    599.78x = 387,359.10
  5. Step 5: Solve for x
    x = 387,359.10/599.78
  6. Step 6: Final answer
    x = 645.84

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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.