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Finding the Fourth Proportional to 643.41, 965.25 and 412.29

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Solution

The fourth proportional to 643.41, 965.25 and 412.29 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.41 : 965.25 = 412.29 : x
  2. Step 2: Convert to fraction form
    643.41/965.25 = 412.29/x
  3. Step 3: Cross multiply
    643.41x = 965.25 × 412.29
  4. Step 4: Simplify right side
    643.41x = 397,962.92
  5. Step 5: Solve for x
    x = 397,962.92/643.41
  6. Step 6: Final answer
    x = 618.52

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

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.