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Finding the Fourth Proportional to 641.22, 965.82 and 596.16

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Solution

The fourth proportional to 641.22, 965.82 and 596.16 is: 897.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.22 : 965.82 = 596.16 : x
  2. Step 2: Convert to fraction form
    641.22/965.82 = 596.16/x
  3. Step 3: Cross multiply
    641.22x = 965.82 × 596.16
  4. Step 4: Simplify right side
    641.22x = 575,783.25
  5. Step 5: Solve for x
    x = 575,783.25/641.22
  6. Step 6: Final answer
    x = 897.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.