Home / 1,258.26-1,736.38-706.26

Finding the Fourth Proportional to 1,258.26, 1,736.38 and 706.26

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Solution

The fourth proportional to 1,258.26, 1,736.38 and 706.26 is: 974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.26 : 1,736.38 = 706.26 : x
  2. Step 2: Convert to fraction form
    1,258.26/1,736.38 = 706.26/x
  3. Step 3: Cross multiply
    1,258.26x = 1,736.38 × 706.26
  4. Step 4: Simplify right side
    1,258.26x = 1,226,335.74
  5. Step 5: Solve for x
    x = 1,226,335.74/1,258.26
  6. Step 6: Final answer
    x = 974.63

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1.5x scale

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.