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Finding the Fourth Proportional to 459.90, 634.95 and 329.34

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Solution

The fourth proportional to 459.90, 634.95 and 329.34 is: 454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 634.95 = 329.34 : x
  2. Step 2: Convert to fraction form
    459.90/634.95 = 329.34/x
  3. Step 3: Cross multiply
    459.90x = 634.95 × 329.34
  4. Step 4: Simplify right side
    459.90x = 209,114.43
  5. Step 5: Solve for x
    x = 209,114.43/459.90
  6. Step 6: Final answer
    x = 454.70

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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.