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Finding the Fourth Proportional to 1,099.79, 1,649.97 and 810.74

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Solution

The fourth proportional to 1,099.79, 1,649.97 and 810.74 is: 1,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.79 : 1,649.97 = 810.74 : x
  2. Step 2: Convert to fraction form
    1,099.79/1,649.97 = 810.74/x
  3. Step 3: Cross multiply
    1,099.79x = 1,649.97 × 810.74
  4. Step 4: Simplify right side
    1,099.79x = 1,337,688.43
  5. Step 5: Solve for x
    x = 1,337,688.43/1,099.79
  6. Step 6: Final answer
    x = 1,216.31

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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.