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Finding the Fourth Proportional to 956.97, 1,435.55 and 409.14

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Solution

The fourth proportional to 956.97, 1,435.55 and 409.14 is: 613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.97 : 1,435.55 = 409.14 : x
  2. Step 2: Convert to fraction form
    956.97/1,435.55 = 409.14/x
  3. Step 3: Cross multiply
    956.97x = 1,435.55 × 409.14
  4. Step 4: Simplify right side
    956.97x = 587,338.88
  5. Step 5: Solve for x
    x = 587,338.88/956.97
  6. Step 6: Final answer
    x = 613.75

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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.