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Finding the Fourth Proportional to 661.64, 913.78 and 441.52

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Solution

The fourth proportional to 661.64, 913.78 and 441.52 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.64 : 913.78 = 441.52 : x
  2. Step 2: Convert to fraction form
    661.64/913.78 = 441.52/x
  3. Step 3: Cross multiply
    661.64x = 913.78 × 441.52
  4. Step 4: Simplify right side
    661.64x = 403,452.15
  5. Step 5: Solve for x
    x = 403,452.15/661.64
  6. Step 6: Final answer
    x = 609.78

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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.