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Finding the Fourth Proportional to 470.10, 648.20 and 385.80

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Solution

The fourth proportional to 470.10, 648.20 and 385.80 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.10 : 648.20 = 385.80 : x
  2. Step 2: Convert to fraction form
    470.10/648.20 = 385.80/x
  3. Step 3: Cross multiply
    470.10x = 648.20 × 385.80
  4. Step 4: Simplify right side
    470.10x = 250,075.56
  5. Step 5: Solve for x
    x = 250,075.56/470.10
  6. Step 6: Final answer
    x = 531.96

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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.