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Finding the Fourth Proportional to 470.75, 648.41 and 337.77

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Solution

The fourth proportional to 470.75, 648.41 and 337.77 is: 465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.75 : 648.41 = 337.77 : x
  2. Step 2: Convert to fraction form
    470.75/648.41 = 337.77/x
  3. Step 3: Cross multiply
    470.75x = 648.41 × 337.77
  4. Step 4: Simplify right side
    470.75x = 219,011.76
  5. Step 5: Solve for x
    x = 219,011.76/470.75
  6. Step 6: Final answer
    x = 465.24

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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.