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Finding the Fourth Proportional to 1,294.17, 1,941.25 and 774.32

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Solution

The fourth proportional to 1,294.17, 1,941.25 and 774.32 is: 1,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.17 : 1,941.25 = 774.32 : x
  2. Step 2: Convert to fraction form
    1,294.17/1,941.25 = 774.32/x
  3. Step 3: Cross multiply
    1,294.17x = 1,941.25 × 774.32
  4. Step 4: Simplify right side
    1,294.17x = 1,503,139.48
  5. Step 5: Solve for x
    x = 1,503,139.48/1,294.17
  6. Step 6: Final answer
    x = 1,161.47

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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.