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Finding the Fourth Proportional to 643.01, 964.52 and 411.20

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Solution

The fourth proportional to 643.01, 964.52 and 411.20 is: 616.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 964.52 = 411.20 : x
  2. Step 2: Convert to fraction form
    643.01/964.52 = 411.20/x
  3. Step 3: Cross multiply
    643.01x = 964.52 × 411.20
  4. Step 4: Simplify right side
    643.01x = 396,603.75
  5. Step 5: Solve for x
    x = 396,603.75/643.01
  6. Step 6: Final answer
    x = 616.80

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Double scale
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Similar ratio
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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.