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Finding the Fourth Proportional to 470.09, 649.01 and 314.93

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Solution

The fourth proportional to 470.09, 649.01 and 314.93 is: 434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.09 : 649.01 = 314.93 : x
  2. Step 2: Convert to fraction form
    470.09/649.01 = 314.93/x
  3. Step 3: Cross multiply
    470.09x = 649.01 × 314.93
  4. Step 4: Simplify right side
    470.09x = 204,392.72
  5. Step 5: Solve for x
    x = 204,392.72/470.09
  6. Step 6: Final answer
    x = 434.79

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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.