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Finding the Fourth Proportional to 587.43, 809.79 and 462.85

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Solution

The fourth proportional to 587.43, 809.79 and 462.85 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.43 : 809.79 = 462.85 : x
  2. Step 2: Convert to fraction form
    587.43/809.79 = 462.85/x
  3. Step 3: Cross multiply
    587.43x = 809.79 × 462.85
  4. Step 4: Simplify right side
    587.43x = 374,809.28
  5. Step 5: Solve for x
    x = 374,809.28/587.43
  6. Step 6: Final answer
    x = 638.05

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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.