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Finding the Fourth Proportional to 459.66, 634.44 and 385.80

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Solution

The fourth proportional to 459.66, 634.44 and 385.80 is: 532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 634.44 = 385.80 : x
  2. Step 2: Convert to fraction form
    459.66/634.44 = 385.80/x
  3. Step 3: Cross multiply
    459.66x = 634.44 × 385.80
  4. Step 4: Simplify right side
    459.66x = 244,766.95
  5. Step 5: Solve for x
    x = 244,766.95/459.66
  6. Step 6: Final answer
    x = 532.50

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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.