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Finding the Fourth Proportional to 1,258.31, 1,736.46 and 698.78

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Solution

The fourth proportional to 1,258.31, 1,736.46 and 698.78 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.31 : 1,736.46 = 698.78 : x
  2. Step 2: Convert to fraction form
    1,258.31/1,736.46 = 698.78/x
  3. Step 3: Cross multiply
    1,258.31x = 1,736.46 × 698.78
  4. Step 4: Simplify right side
    1,258.31x = 1,213,394.84
  5. Step 5: Solve for x
    x = 1,213,394.84/1,258.31
  6. Step 6: Final answer
    x = 964.31

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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.