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Finding the Fourth Proportional to 633.64, 875.03 and 599.13

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Solution

The fourth proportional to 633.64, 875.03 and 599.13 is: 827.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.64 : 875.03 = 599.13 : x
  2. Step 2: Convert to fraction form
    633.64/875.03 = 599.13/x
  3. Step 3: Cross multiply
    633.64x = 875.03 × 599.13
  4. Step 4: Simplify right side
    633.64x = 524,255.97
  5. Step 5: Solve for x
    x = 524,255.97/633.64
  6. Step 6: Final answer
    x = 827.37

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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.