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Finding the Fourth Proportional to 1,083.77, 1,626.11 and 434.34

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Solution

The fourth proportional to 1,083.77, 1,626.11 and 434.34 is: 651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.77 : 1,626.11 = 434.34 : x
  2. Step 2: Convert to fraction form
    1,083.77/1,626.11 = 434.34/x
  3. Step 3: Cross multiply
    1,083.77x = 1,626.11 × 434.34
  4. Step 4: Simplify right side
    1,083.77x = 706,282.45
  5. Step 5: Solve for x
    x = 706,282.45/1,083.77
  6. Step 6: Final answer
    x = 651.69

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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.