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Finding the Fourth Proportional to 945.90, 1,419.26 and 329.70

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Solution

The fourth proportional to 945.90, 1,419.26 and 329.70 is: 494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,419.26 = 329.70 : x
  2. Step 2: Convert to fraction form
    945.90/1,419.26 = 329.70/x
  3. Step 3: Cross multiply
    945.90x = 1,419.26 × 329.70
  4. Step 4: Simplify right side
    945.90x = 467,930.02
  5. Step 5: Solve for x
    x = 467,930.02/945.90
  6. Step 6: Final answer
    x = 494.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.