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Finding the Fourth Proportional to 1,765.90, 2,650.13 and 841.45

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Solution

The fourth proportional to 1,765.90, 2,650.13 and 841.45 is: 1,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.90 : 2,650.13 = 841.45 : x
  2. Step 2: Convert to fraction form
    1,765.90/2,650.13 = 841.45/x
  3. Step 3: Cross multiply
    1,765.90x = 2,650.13 × 841.45
  4. Step 4: Simplify right side
    1,765.90x = 2,229,954.09
  5. Step 5: Solve for x
    x = 2,229,954.09/1,765.90
  6. Step 6: Final answer
    x = 1,262.79

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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.