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Finding the Fourth Proportional to 587.82, 879.63 and 433.38

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Solution

The fourth proportional to 587.82, 879.63 and 433.38 is: 648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 879.63 = 433.38 : x
  2. Step 2: Convert to fraction form
    587.82/879.63 = 433.38/x
  3. Step 3: Cross multiply
    587.82x = 879.63 × 433.38
  4. Step 4: Simplify right side
    587.82x = 381,214.05
  5. Step 5: Solve for x
    x = 381,214.05/587.82
  6. Step 6: Final answer
    x = 648.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.