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Finding the Fourth Proportional to 963.83, 1,446.04 and 408.25

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Solution

The fourth proportional to 963.83, 1,446.04 and 408.25 is: 612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.83 : 1,446.04 = 408.25 : x
  2. Step 2: Convert to fraction form
    963.83/1,446.04 = 408.25/x
  3. Step 3: Cross multiply
    963.83x = 1,446.04 × 408.25
  4. Step 4: Simplify right side
    963.83x = 590,349.61
  5. Step 5: Solve for x
    x = 590,349.61/963.83
  6. Step 6: Final answer
    x = 612.50

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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.