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Finding the Fourth Proportional to 985.87, 1,360.63 and 819.80

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Solution

The fourth proportional to 985.87, 1,360.63 and 819.80 is: 1,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.87 : 1,360.63 = 819.80 : x
  2. Step 2: Convert to fraction form
    985.87/1,360.63 = 819.80/x
  3. Step 3: Cross multiply
    985.87x = 1,360.63 × 819.80
  4. Step 4: Simplify right side
    985.87x = 1,115,444.47
  5. Step 5: Solve for x
    x = 1,115,444.47/985.87
  6. Step 6: Final answer
    x = 1,131.43

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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.