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Finding the Fourth Proportional to 470.76, 648.18 and 387.60

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Solution

The fourth proportional to 470.76, 648.18 and 387.60 is: 533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 648.18 = 387.60 : x
  2. Step 2: Convert to fraction form
    470.76/648.18 = 387.60/x
  3. Step 3: Cross multiply
    470.76x = 648.18 × 387.60
  4. Step 4: Simplify right side
    470.76x = 251,234.57
  5. Step 5: Solve for x
    x = 251,234.57/470.76
  6. Step 6: Final answer
    x = 533.68

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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.