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Finding the Fourth Proportional to 472.32, 656.31 and 467.26

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Solution

The fourth proportional to 472.32, 656.31 and 467.26 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.32 : 656.31 = 467.26 : x
  2. Step 2: Convert to fraction form
    472.32/656.31 = 467.26/x
  3. Step 3: Cross multiply
    472.32x = 656.31 × 467.26
  4. Step 4: Simplify right side
    472.32x = 306,664.89
  5. Step 5: Solve for x
    x = 306,664.89/472.32
  6. Step 6: Final answer
    x = 649.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.