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Finding the Fourth Proportional to 1,294.89, 1,941.74 and 417.23

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Solution

The fourth proportional to 1,294.89, 1,941.74 and 417.23 is: 625.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.89 : 1,941.74 = 417.23 : x
  2. Step 2: Convert to fraction form
    1,294.89/1,941.74 = 417.23/x
  3. Step 3: Cross multiply
    1,294.89x = 1,941.74 × 417.23
  4. Step 4: Simplify right side
    1,294.89x = 810,150.09
  5. Step 5: Solve for x
    x = 810,150.09/1,294.89
  6. Step 6: Final answer
    x = 625.65

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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.