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Finding the Fourth Proportional to 1,204.90, 1,805.43 and 771.70

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Solution

The fourth proportional to 1,204.90, 1,805.43 and 771.70 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.90 : 1,805.43 = 771.70 : x
  2. Step 2: Convert to fraction form
    1,204.90/1,805.43 = 771.70/x
  3. Step 3: Cross multiply
    1,204.90x = 1,805.43 × 771.70
  4. Step 4: Simplify right side
    1,204.90x = 1,393,250.33
  5. Step 5: Solve for x
    x = 1,393,250.33/1,204.90
  6. Step 6: Final answer
    x = 1,156.32

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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.