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Finding the Fourth Proportional to 470.16, 648.25 and 428.54

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Solution

The fourth proportional to 470.16, 648.25 and 428.54 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 648.25 = 428.54 : x
  2. Step 2: Convert to fraction form
    470.16/648.25 = 428.54/x
  3. Step 3: Cross multiply
    470.16x = 648.25 × 428.54
  4. Step 4: Simplify right side
    470.16x = 277,801.06
  5. Step 5: Solve for x
    x = 277,801.06/470.16
  6. Step 6: Final answer
    x = 590.86

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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.