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Finding the Fourth Proportional to 459.69, 634.43 and 354.70

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Solution

The fourth proportional to 459.69, 634.43 and 354.70 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.69 : 634.43 = 354.70 : x
  2. Step 2: Convert to fraction form
    459.69/634.43 = 354.70/x
  3. Step 3: Cross multiply
    459.69x = 634.43 × 354.70
  4. Step 4: Simplify right side
    459.69x = 225,032.32
  5. Step 5: Solve for x
    x = 225,032.32/459.69
  6. Step 6: Final answer
    x = 489.53

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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.