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Finding the Fourth Proportional to 459.97, 636.24 and 386.17

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Solution

The fourth proportional to 459.97, 636.24 and 386.17 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.97 : 636.24 = 386.17 : x
  2. Step 2: Convert to fraction form
    459.97/636.24 = 386.17/x
  3. Step 3: Cross multiply
    459.97x = 636.24 × 386.17
  4. Step 4: Simplify right side
    459.97x = 245,696.80
  5. Step 5: Solve for x
    x = 245,696.80/459.97
  6. Step 6: Final answer
    x = 534.16

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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.