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Finding the Fourth Proportional to 472.91, 649.98 and 417.31

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Solution

The fourth proportional to 472.91, 649.98 and 417.31 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.91 : 649.98 = 417.31 : x
  2. Step 2: Convert to fraction form
    472.91/649.98 = 417.31/x
  3. Step 3: Cross multiply
    472.91x = 649.98 × 417.31
  4. Step 4: Simplify right side
    472.91x = 271,241.53
  5. Step 5: Solve for x
    x = 271,241.53/472.91
  6. Step 6: Final answer
    x = 573.56

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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.