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Finding the Fourth Proportional to 796.21, 1,097.69 and 559.74

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Solution

The fourth proportional to 796.21, 1,097.69 and 559.74 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.21 : 1,097.69 = 559.74 : x
  2. Step 2: Convert to fraction form
    796.21/1,097.69 = 559.74/x
  3. Step 3: Cross multiply
    796.21x = 1,097.69 × 559.74
  4. Step 4: Simplify right side
    796.21x = 614,421.00
  5. Step 5: Solve for x
    x = 614,421.00/796.21
  6. Step 6: Final answer
    x = 771.68

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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.