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Finding the Fourth Proportional to 956.07, 1,434.25 and 408.25

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Solution

The fourth proportional to 956.07, 1,434.25 and 408.25 is: 612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.07 : 1,434.25 = 408.25 : x
  2. Step 2: Convert to fraction form
    956.07/1,434.25 = 408.25/x
  3. Step 3: Cross multiply
    956.07x = 1,434.25 × 408.25
  4. Step 4: Simplify right side
    956.07x = 585,532.56
  5. Step 5: Solve for x
    x = 585,532.56/956.07
  6. Step 6: Final answer
    x = 612.44

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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.