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Finding the Fourth Proportional to 1,102.04, 1,652.87 and 408.54

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Solution

The fourth proportional to 1,102.04, 1,652.87 and 408.54 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.04 : 1,652.87 = 408.54 : x
  2. Step 2: Convert to fraction form
    1,102.04/1,652.87 = 408.54/x
  3. Step 3: Cross multiply
    1,102.04x = 1,652.87 × 408.54
  4. Step 4: Simplify right side
    1,102.04x = 675,263.51
  5. Step 5: Solve for x
    x = 675,263.51/1,102.04
  6. Step 6: Final answer
    x = 612.74

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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.