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Finding the Fourth Proportional to 661.12, 913.12 and 452.24

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Solution

The fourth proportional to 661.12, 913.12 and 452.24 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 913.12 = 452.24 : x
  2. Step 2: Convert to fraction form
    661.12/913.12 = 452.24/x
  3. Step 3: Cross multiply
    661.12x = 913.12 × 452.24
  4. Step 4: Simplify right side
    661.12x = 412,949.39
  5. Step 5: Solve for x
    x = 412,949.39/661.12
  6. Step 6: Final answer
    x = 624.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.