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Finding the Fourth Proportional to 470.52, 645.83 and 450.47

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Solution

The fourth proportional to 470.52, 645.83 and 450.47 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.52 : 645.83 = 450.47 : x
  2. Step 2: Convert to fraction form
    470.52/645.83 = 450.47/x
  3. Step 3: Cross multiply
    470.52x = 645.83 × 450.47
  4. Step 4: Simplify right side
    470.52x = 290,921.56
  5. Step 5: Solve for x
    x = 290,921.56/470.52
  6. Step 6: Final answer
    x = 618.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.