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Finding the Fourth Proportional to 1,204.41, 1,806.62 and 656.85

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Solution

The fourth proportional to 1,204.41, 1,806.62 and 656.85 is: 985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.41 : 1,806.62 = 656.85 : x
  2. Step 2: Convert to fraction form
    1,204.41/1,806.62 = 656.85/x
  3. Step 3: Cross multiply
    1,204.41x = 1,806.62 × 656.85
  4. Step 4: Simplify right side
    1,204.41x = 1,186,678.35
  5. Step 5: Solve for x
    x = 1,186,678.35/1,204.41
  6. Step 6: Final answer
    x = 985.28

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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.