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Finding the Fourth Proportional to 587.69, 810.78 and 363.59

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Solution

The fourth proportional to 587.69, 810.78 and 363.59 is: 501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.69 : 810.78 = 363.59 : x
  2. Step 2: Convert to fraction form
    587.69/810.78 = 363.59/x
  3. Step 3: Cross multiply
    587.69x = 810.78 × 363.59
  4. Step 4: Simplify right side
    587.69x = 294,791.50
  5. Step 5: Solve for x
    x = 294,791.50/587.69
  6. Step 6: Final answer
    x = 501.61

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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.