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Finding the Fourth Proportional to 587.49, 809.64 and 421.44

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Solution

The fourth proportional to 587.49, 809.64 and 421.44 is: 580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.49 : 809.64 = 421.44 : x
  2. Step 2: Convert to fraction form
    587.49/809.64 = 421.44/x
  3. Step 3: Cross multiply
    587.49x = 809.64 × 421.44
  4. Step 4: Simplify right side
    587.49x = 341,214.68
  5. Step 5: Solve for x
    x = 341,214.68/587.49
  6. Step 6: Final answer
    x = 580.80

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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.