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Finding the Fourth Proportional to 1,205.77, 1,809.29 and 657.85

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Solution

The fourth proportional to 1,205.77, 1,809.29 and 657.85 is: 987.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.77 : 1,809.29 = 657.85 : x
  2. Step 2: Convert to fraction form
    1,205.77/1,809.29 = 657.85/x
  3. Step 3: Cross multiply
    1,205.77x = 1,809.29 × 657.85
  4. Step 4: Simplify right side
    1,205.77x = 1,190,241.43
  5. Step 5: Solve for x
    x = 1,190,241.43/1,205.77
  6. Step 6: Final answer
    x = 987.12

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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.