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Finding the Fourth Proportional to 796.42, 1,098.12 and 609.31

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Solution

The fourth proportional to 796.42, 1,098.12 and 609.31 is: 840.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,098.12 = 609.31 : x
  2. Step 2: Convert to fraction form
    796.42/1,098.12 = 609.31/x
  3. Step 3: Cross multiply
    796.42x = 1,098.12 × 609.31
  4. Step 4: Simplify right side
    796.42x = 669,095.50
  5. Step 5: Solve for x
    x = 669,095.50/796.42
  6. Step 6: Final answer
    x = 840.13

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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.