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Finding the Fourth Proportional to 587.50, 809.64 and 421.43

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Solution

The fourth proportional to 587.50, 809.64 and 421.43 is: 580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 809.64 = 421.43 : x
  2. Step 2: Convert to fraction form
    587.50/809.64 = 421.43/x
  3. Step 3: Cross multiply
    587.50x = 809.64 × 421.43
  4. Step 4: Simplify right side
    587.50x = 341,206.59
  5. Step 5: Solve for x
    x = 341,206.59/587.50
  6. Step 6: Final answer
    x = 580.78

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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.