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Finding the Fourth Proportional to 1,100.96, 1,652.08 and 613.96

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Solution

The fourth proportional to 1,100.96, 1,652.08 and 613.96 is: 921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.96 : 1,652.08 = 613.96 : x
  2. Step 2: Convert to fraction form
    1,100.96/1,652.08 = 613.96/x
  3. Step 3: Cross multiply
    1,100.96x = 1,652.08 × 613.96
  4. Step 4: Simplify right side
    1,100.96x = 1,014,311.04
  5. Step 5: Solve for x
    x = 1,014,311.04/1,100.96
  6. Step 6: Final answer
    x = 921.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.