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Finding the Fourth Proportional to 470.51, 649.97 and 428.43

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Solution

The fourth proportional to 470.51, 649.97 and 428.43 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 649.97 = 428.43 : x
  2. Step 2: Convert to fraction form
    470.51/649.97 = 428.43/x
  3. Step 3: Cross multiply
    470.51x = 649.97 × 428.43
  4. Step 4: Simplify right side
    470.51x = 278,461.79
  5. Step 5: Solve for x
    x = 278,461.79/470.51
  6. Step 6: Final answer
    x = 591.83

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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.