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Finding the Fourth Proportional to 796.35, 1,099.93 and 586.23

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Solution

The fourth proportional to 796.35, 1,099.93 and 586.23 is: 809.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,099.93 = 586.23 : x
  2. Step 2: Convert to fraction form
    796.35/1,099.93 = 586.23/x
  3. Step 3: Cross multiply
    796.35x = 1,099.93 × 586.23
  4. Step 4: Simplify right side
    796.35x = 644,811.96
  5. Step 5: Solve for x
    x = 644,811.96/796.35
  6. Step 6: Final answer
    x = 809.71

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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.