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Finding the Fourth Proportional to 945.87, 1,419.45 and 329.58

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Solution

The fourth proportional to 945.87, 1,419.45 and 329.58 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.87 : 1,419.45 = 329.58 : x
  2. Step 2: Convert to fraction form
    945.87/1,419.45 = 329.58/x
  3. Step 3: Cross multiply
    945.87x = 1,419.45 × 329.58
  4. Step 4: Simplify right side
    945.87x = 467,815.23
  5. Step 5: Solve for x
    x = 467,815.23/945.87
  6. Step 6: Final answer
    x = 494.59

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Why These Related Problems?

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