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Finding the Fourth Proportional to 472.48, 646.24 and 464.92

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Solution

The fourth proportional to 472.48, 646.24 and 464.92 is: 635.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 646.24 = 464.92 : x
  2. Step 2: Convert to fraction form
    472.48/646.24 = 464.92/x
  3. Step 3: Cross multiply
    472.48x = 646.24 × 464.92
  4. Step 4: Simplify right side
    472.48x = 300,449.90
  5. Step 5: Solve for x
    x = 300,449.90/472.48
  6. Step 6: Final answer
    x = 635.90

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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.