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Finding the Fourth Proportional to 796.42, 1,099.77 and 565.06

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Solution

The fourth proportional to 796.42, 1,099.77 and 565.06 is: 780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,099.77 = 565.06 : x
  2. Step 2: Convert to fraction form
    796.42/1,099.77 = 565.06/x
  3. Step 3: Cross multiply
    796.42x = 1,099.77 × 565.06
  4. Step 4: Simplify right side
    796.42x = 621,436.04
  5. Step 5: Solve for x
    x = 621,436.04/796.42
  6. Step 6: Final answer
    x = 780.29

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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.