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Finding the Fourth Proportional to 644.58, 965.82 and 383.95

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Solution

The fourth proportional to 644.58, 965.82 and 383.95 is: 575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.58 : 965.82 = 383.95 : x
  2. Step 2: Convert to fraction form
    644.58/965.82 = 383.95/x
  3. Step 3: Cross multiply
    644.58x = 965.82 × 383.95
  4. Step 4: Simplify right side
    644.58x = 370,826.59
  5. Step 5: Solve for x
    x = 370,826.59/644.58
  6. Step 6: Final answer
    x = 575.30

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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.