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Finding the Fourth Proportional to 459.24, 634.66 and 382.12

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Solution

The fourth proportional to 459.24, 634.66 and 382.12 is: 528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.24 : 634.66 = 382.12 : x
  2. Step 2: Convert to fraction form
    459.24/634.66 = 382.12/x
  3. Step 3: Cross multiply
    459.24x = 634.66 × 382.12
  4. Step 4: Simplify right side
    459.24x = 242,516.28
  5. Step 5: Solve for x
    x = 242,516.28/459.24
  6. Step 6: Final answer
    x = 528.08

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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.