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Finding the Fourth Proportional to 1,287.21, 1,777.12 and 845.88

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Solution

The fourth proportional to 1,287.21, 1,777.12 and 845.88 is: 1,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.21 : 1,777.12 = 845.88 : x
  2. Step 2: Convert to fraction form
    1,287.21/1,777.12 = 845.88/x
  3. Step 3: Cross multiply
    1,287.21x = 1,777.12 × 845.88
  4. Step 4: Simplify right side
    1,287.21x = 1,503,230.27
  5. Step 5: Solve for x
    x = 1,503,230.27/1,287.21
  6. Step 6: Final answer
    x = 1,167.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.