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Finding the Fourth Proportional to 638.75, 881.01 and 586.46

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Solution

The fourth proportional to 638.75, 881.01 and 586.46 is: 808.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.75 : 881.01 = 586.46 : x
  2. Step 2: Convert to fraction form
    638.75/881.01 = 586.46/x
  3. Step 3: Cross multiply
    638.75x = 881.01 × 586.46
  4. Step 4: Simplify right side
    638.75x = 516,672.72
  5. Step 5: Solve for x
    x = 516,672.72/638.75
  6. Step 6: Final answer
    x = 808.89

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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.