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Finding the Fourth Proportional to 956.19, 1,433.61 and 408.09

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Solution

The fourth proportional to 956.19, 1,433.61 and 408.09 is: 611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.19 : 1,433.61 = 408.09 : x
  2. Step 2: Convert to fraction form
    956.19/1,433.61 = 408.09/x
  3. Step 3: Cross multiply
    956.19x = 1,433.61 × 408.09
  4. Step 4: Simplify right side
    956.19x = 585,041.90
  5. Step 5: Solve for x
    x = 585,041.90/956.19
  6. Step 6: Final answer
    x = 611.85

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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.