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Finding the Fourth Proportional to 467.31, 643.41 and 397.23

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Solution

The fourth proportional to 467.31, 643.41 and 397.23 is: 546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.31 : 643.41 = 397.23 : x
  2. Step 2: Convert to fraction form
    467.31/643.41 = 397.23/x
  3. Step 3: Cross multiply
    467.31x = 643.41 × 397.23
  4. Step 4: Simplify right side
    467.31x = 255,581.75
  5. Step 5: Solve for x
    x = 255,581.75/467.31
  6. Step 6: Final answer
    x = 546.92

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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.