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Finding the Fourth Proportional to 1,203.82, 1,806.28 and 655.35

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Solution

The fourth proportional to 1,203.82, 1,806.28 and 655.35 is: 983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.82 : 1,806.28 = 655.35 : x
  2. Step 2: Convert to fraction form
    1,203.82/1,806.28 = 655.35/x
  3. Step 3: Cross multiply
    1,203.82x = 1,806.28 × 655.35
  4. Step 4: Simplify right side
    1,203.82x = 1,183,745.60
  5. Step 5: Solve for x
    x = 1,183,745.60/1,203.82
  6. Step 6: Final answer
    x = 983.32

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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.