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Finding the Fourth Proportional to 1,299.93, 1,949.82 and 478.27

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Solution

The fourth proportional to 1,299.93, 1,949.82 and 478.27 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.93 : 1,949.82 = 478.27 : x
  2. Step 2: Convert to fraction form
    1,299.93/1,949.82 = 478.27/x
  3. Step 3: Cross multiply
    1,299.93x = 1,949.82 × 478.27
  4. Step 4: Simplify right side
    1,299.93x = 932,543.75
  5. Step 5: Solve for x
    x = 932,543.75/1,299.93
  6. Step 6: Final answer
    x = 717.38

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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.