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Finding the Fourth Proportional to 1,282.31, 1,768.58 and 840.13

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Solution

The fourth proportional to 1,282.31, 1,768.58 and 840.13 is: 1,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.31 : 1,768.58 = 840.13 : x
  2. Step 2: Convert to fraction form
    1,282.31/1,768.58 = 840.13/x
  3. Step 3: Cross multiply
    1,282.31x = 1,768.58 × 840.13
  4. Step 4: Simplify right side
    1,282.31x = 1,485,828.49
  5. Step 5: Solve for x
    x = 1,485,828.49/1,282.31
  6. Step 6: Final answer
    x = 1,158.71

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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.