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Finding the Fourth Proportional to 470.57, 649.52 and 304.79

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Solution

The fourth proportional to 470.57, 649.52 and 304.79 is: 420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.57 : 649.52 = 304.79 : x
  2. Step 2: Convert to fraction form
    470.57/649.52 = 304.79/x
  3. Step 3: Cross multiply
    470.57x = 649.52 × 304.79
  4. Step 4: Simplify right side
    470.57x = 197,969.59
  5. Step 5: Solve for x
    x = 197,969.59/470.57
  6. Step 6: Final answer
    x = 420.71

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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.