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Finding the Fourth Proportional to 1,276.62, 1,762.47 and 857.58

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Solution

The fourth proportional to 1,276.62, 1,762.47 and 857.58 is: 1,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.62 : 1,762.47 = 857.58 : x
  2. Step 2: Convert to fraction form
    1,276.62/1,762.47 = 857.58/x
  3. Step 3: Cross multiply
    1,276.62x = 1,762.47 × 857.58
  4. Step 4: Simplify right side
    1,276.62x = 1,511,459.02
  5. Step 5: Solve for x
    x = 1,511,459.02/1,276.62
  6. Step 6: Final answer
    x = 1,183.95

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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.