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Finding the Fourth Proportional to 642.88, 965.61 and 383.38

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Solution

The fourth proportional to 642.88, 965.61 and 383.38 is: 575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.88 : 965.61 = 383.38 : x
  2. Step 2: Convert to fraction form
    642.88/965.61 = 383.38/x
  3. Step 3: Cross multiply
    642.88x = 965.61 × 383.38
  4. Step 4: Simplify right side
    642.88x = 370,195.56
  5. Step 5: Solve for x
    x = 370,195.56/642.88
  6. Step 6: Final answer
    x = 575.84

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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.