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Finding the Fourth Proportional to 470.24, 699.48 and 447.20

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Solution

The fourth proportional to 470.24, 699.48 and 447.20 is: 665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 699.48 = 447.20 : x
  2. Step 2: Convert to fraction form
    470.24/699.48 = 447.20/x
  3. Step 3: Cross multiply
    470.24x = 699.48 × 447.20
  4. Step 4: Simplify right side
    470.24x = 312,807.46
  5. Step 5: Solve for x
    x = 312,807.46/470.24
  6. Step 6: Final answer
    x = 665.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.