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Finding the Fourth Proportional to 945.90, 1,418.99 and 419.40

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Solution

The fourth proportional to 945.90, 1,418.99 and 419.40 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,418.99 = 419.40 : x
  2. Step 2: Convert to fraction form
    945.90/1,418.99 = 419.40/x
  3. Step 3: Cross multiply
    945.90x = 1,418.99 × 419.40
  4. Step 4: Simplify right side
    945.90x = 595,122.31
  5. Step 5: Solve for x
    x = 595,122.31/945.90
  6. Step 6: Final answer
    x = 629.16

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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.