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Finding the Fourth Proportional to 638.22, 875.00 and 589.98

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Solution

The fourth proportional to 638.22, 875.00 and 589.98 is: 808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.22 : 875.00 = 589.98 : x
  2. Step 2: Convert to fraction form
    638.22/875.00 = 589.98/x
  3. Step 3: Cross multiply
    638.22x = 875.00 × 589.98
  4. Step 4: Simplify right side
    638.22x = 516,229.55
  5. Step 5: Solve for x
    x = 516,229.55/638.22
  6. Step 6: Final answer
    x = 808.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.