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Finding the Fourth Proportional to 1,294.36, 1,941.08 and 472.44

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Solution

The fourth proportional to 1,294.36, 1,941.08 and 472.44 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.36 : 1,941.08 = 472.44 : x
  2. Step 2: Convert to fraction form
    1,294.36/1,941.08 = 472.44/x
  3. Step 3: Cross multiply
    1,294.36x = 1,941.08 × 472.44
  4. Step 4: Simplify right side
    1,294.36x = 917,043.84
  5. Step 5: Solve for x
    x = 917,043.84/1,294.36
  6. Step 6: Final answer
    x = 708.49

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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.