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Finding the Fourth Proportional to 1,409.68, 1,945.02 and 819.86

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Solution

The fourth proportional to 1,409.68, 1,945.02 and 819.86 is: 1,131.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.68 : 1,945.02 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,409.68/1,945.02 = 819.86/x
  3. Step 3: Cross multiply
    1,409.68x = 1,945.02 × 819.86
  4. Step 4: Simplify right side
    1,409.68x = 1,594,644.10
  5. Step 5: Solve for x
    x = 1,594,644.10/1,409.68
  6. Step 6: Final answer
    x = 1,131.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.