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Finding the Fourth Proportional to 1,258.11, 1,735.99 and 698.57

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Solution

The fourth proportional to 1,258.11, 1,735.99 and 698.57 is: 963.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.11 : 1,735.99 = 698.57 : x
  2. Step 2: Convert to fraction form
    1,258.11/1,735.99 = 698.57/x
  3. Step 3: Cross multiply
    1,258.11x = 1,735.99 × 698.57
  4. Step 4: Simplify right side
    1,258.11x = 1,212,710.55
  5. Step 5: Solve for x
    x = 1,212,710.55/1,258.11
  6. Step 6: Final answer
    x = 963.91

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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.