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Finding the Fourth Proportional to 964.23, 1,445.22 and 408.84

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Solution

The fourth proportional to 964.23, 1,445.22 and 408.84 is: 612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.23 : 1,445.22 = 408.84 : x
  2. Step 2: Convert to fraction form
    964.23/1,445.22 = 408.84/x
  3. Step 3: Cross multiply
    964.23x = 1,445.22 × 408.84
  4. Step 4: Simplify right side
    964.23x = 590,863.74
  5. Step 5: Solve for x
    x = 590,863.74/964.23
  6. Step 6: Final answer
    x = 612.78

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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.