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Finding the Fourth Proportional to 470.48, 648.95 and 330.35

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Solution

The fourth proportional to 470.48, 648.95 and 330.35 is: 455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.48 : 648.95 = 330.35 : x
  2. Step 2: Convert to fraction form
    470.48/648.95 = 330.35/x
  3. Step 3: Cross multiply
    470.48x = 648.95 × 330.35
  4. Step 4: Simplify right side
    470.48x = 214,375.74
  5. Step 5: Solve for x
    x = 214,375.74/470.48
  6. Step 6: Final answer
    x = 455.66

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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.