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Finding the Fourth Proportional to 796.50, 1,098.90 and 501.54

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Solution

The fourth proportional to 796.50, 1,098.90 and 501.54 is: 691.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,098.90 = 501.54 : x
  2. Step 2: Convert to fraction form
    796.50/1,098.90 = 501.54/x
  3. Step 3: Cross multiply
    796.50x = 1,098.90 × 501.54
  4. Step 4: Simplify right side
    796.50x = 551,142.31
  5. Step 5: Solve for x
    x = 551,142.31/796.50
  6. Step 6: Final answer
    x = 691.96

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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.