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Finding the Fourth Proportional to 447.28, 669.51 and 307.64

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Solution

The fourth proportional to 447.28, 669.51 and 307.64 is: 460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.28 : 669.51 = 307.64 : x
  2. Step 2: Convert to fraction form
    447.28/669.51 = 307.64/x
  3. Step 3: Cross multiply
    447.28x = 669.51 × 307.64
  4. Step 4: Simplify right side
    447.28x = 205,969.21
  5. Step 5: Solve for x
    x = 205,969.21/447.28
  6. Step 6: Final answer
    x = 460.50

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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.