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Finding the Fourth Proportional to 599.26, 826.63 and 378.13

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Solution

The fourth proportional to 599.26, 826.63 and 378.13 is: 521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.26 : 826.63 = 378.13 : x
  2. Step 2: Convert to fraction form
    599.26/826.63 = 378.13/x
  3. Step 3: Cross multiply
    599.26x = 826.63 × 378.13
  4. Step 4: Simplify right side
    599.26x = 312,573.60
  5. Step 5: Solve for x
    x = 312,573.60/599.26
  6. Step 6: Final answer
    x = 521.60

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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.