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Finding the Fourth Proportional to 1,294.95, 1,941.83 and 417.29

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Solution

The fourth proportional to 1,294.95, 1,941.83 and 417.29 is: 625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.95 : 1,941.83 = 417.29 : x
  2. Step 2: Convert to fraction form
    1,294.95/1,941.83 = 417.29/x
  3. Step 3: Cross multiply
    1,294.95x = 1,941.83 × 417.29
  4. Step 4: Simplify right side
    1,294.95x = 810,306.93
  5. Step 5: Solve for x
    x = 810,306.93/1,294.95
  6. Step 6: Final answer
    x = 625.74

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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.