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Finding the Fourth Proportional to 459.20, 632.94 and 371.72

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Solution

The fourth proportional to 459.20, 632.94 and 371.72 is: 512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 632.94 = 371.72 : x
  2. Step 2: Convert to fraction form
    459.20/632.94 = 371.72/x
  3. Step 3: Cross multiply
    459.20x = 632.94 × 371.72
  4. Step 4: Simplify right side
    459.20x = 235,276.46
  5. Step 5: Solve for x
    x = 235,276.46/459.20
  6. Step 6: Final answer
    x = 512.36

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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.