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Finding the Fourth Proportional to 467.97, 646.07 and 310.56

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Solution

The fourth proportional to 467.97, 646.07 and 310.56 is: 428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.97 : 646.07 = 310.56 : x
  2. Step 2: Convert to fraction form
    467.97/646.07 = 310.56/x
  3. Step 3: Cross multiply
    467.97x = 646.07 × 310.56
  4. Step 4: Simplify right side
    467.97x = 200,643.50
  5. Step 5: Solve for x
    x = 200,643.50/467.97
  6. Step 6: Final answer
    x = 428.75

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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.