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Finding the Fourth Proportional to 796.32, 1,098.59 and 574.78

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Solution

The fourth proportional to 796.32, 1,098.59 and 574.78 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,098.59 = 574.78 : x
  2. Step 2: Convert to fraction form
    796.32/1,098.59 = 574.78/x
  3. Step 3: Cross multiply
    796.32x = 1,098.59 × 574.78
  4. Step 4: Simplify right side
    796.32x = 631,447.56
  5. Step 5: Solve for x
    x = 631,447.56/796.32
  6. Step 6: Final answer
    x = 792.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.