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Finding the Fourth Proportional to 1,299.30, 1,949.22 and 477.58

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Solution

The fourth proportional to 1,299.30, 1,949.22 and 477.58 is: 716.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.30 : 1,949.22 = 477.58 : x
  2. Step 2: Convert to fraction form
    1,299.30/1,949.22 = 477.58/x
  3. Step 3: Cross multiply
    1,299.30x = 1,949.22 × 477.58
  4. Step 4: Simplify right side
    1,299.30x = 930,908.49
  5. Step 5: Solve for x
    x = 930,908.49/1,299.30
  6. Step 6: Final answer
    x = 716.47

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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.