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Finding the Fourth Proportional to 459.12, 633.24 and 371.76

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Solution

The fourth proportional to 459.12, 633.24 and 371.76 is: 512.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 633.24 = 371.76 : x
  2. Step 2: Convert to fraction form
    459.12/633.24 = 371.76/x
  3. Step 3: Cross multiply
    459.12x = 633.24 × 371.76
  4. Step 4: Simplify right side
    459.12x = 235,413.30
  5. Step 5: Solve for x
    x = 235,413.30/459.12
  6. Step 6: Final answer
    x = 512.75

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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.