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Finding the Fourth Proportional to 459.97, 632.87 and 397.60

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Solution

The fourth proportional to 459.97, 632.87 and 397.60 is: 547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.97 : 632.87 = 397.60 : x
  2. Step 2: Convert to fraction form
    459.97/632.87 = 397.60/x
  3. Step 3: Cross multiply
    459.97x = 632.87 × 397.60
  4. Step 4: Simplify right side
    459.97x = 251,629.11
  5. Step 5: Solve for x
    x = 251,629.11/459.97
  6. Step 6: Final answer
    x = 547.06

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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.