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Finding the Fourth Proportional to 587.42, 809.69 and 377.22

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Solution

The fourth proportional to 587.42, 809.69 and 377.22 is: 519.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.42 : 809.69 = 377.22 : x
  2. Step 2: Convert to fraction form
    587.42/809.69 = 377.22/x
  3. Step 3: Cross multiply
    587.42x = 809.69 × 377.22
  4. Step 4: Simplify right side
    587.42x = 305,429.38
  5. Step 5: Solve for x
    x = 305,429.38/587.42
  6. Step 6: Final answer
    x = 519.96

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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.