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Finding the Fourth Proportional to 1,276.82, 1,762.73 and 835.17

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Solution

The fourth proportional to 1,276.82, 1,762.73 and 835.17 is: 1,153.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.82 : 1,762.73 = 835.17 : x
  2. Step 2: Convert to fraction form
    1,276.82/1,762.73 = 835.17/x
  3. Step 3: Cross multiply
    1,276.82x = 1,762.73 × 835.17
  4. Step 4: Simplify right side
    1,276.82x = 1,472,179.21
  5. Step 5: Solve for x
    x = 1,472,179.21/1,276.82
  6. Step 6: Final answer
    x = 1,153.00

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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.