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Finding the Fourth Proportional to 587.57, 809.73 and 421.49

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Solution

The fourth proportional to 587.57, 809.73 and 421.49 is: 580.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.57 : 809.73 = 421.49 : x
  2. Step 2: Convert to fraction form
    587.57/809.73 = 421.49/x
  3. Step 3: Cross multiply
    587.57x = 809.73 × 421.49
  4. Step 4: Simplify right side
    587.57x = 341,293.54
  5. Step 5: Solve for x
    x = 341,293.54/587.57
  6. Step 6: Final answer
    x = 580.86

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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.