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Finding the Fourth Proportional to 459.39, 634.21 and 354.25

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Solution

The fourth proportional to 459.39, 634.21 and 354.25 is: 489.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.39 : 634.21 = 354.25 : x
  2. Step 2: Convert to fraction form
    459.39/634.21 = 354.25/x
  3. Step 3: Cross multiply
    459.39x = 634.21 × 354.25
  4. Step 4: Simplify right side
    459.39x = 224,666.42
  5. Step 5: Solve for x
    x = 224,666.42/459.39
  6. Step 6: Final answer
    x = 489.05

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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.