Home / 1,261.58-1,741.10-702.23

Finding the Fourth Proportional to 1,261.58, 1,741.10 and 702.23

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Solution

The fourth proportional to 1,261.58, 1,741.10 and 702.23 is: 969.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.58 : 1,741.10 = 702.23 : x
  2. Step 2: Convert to fraction form
    1,261.58/1,741.10 = 702.23/x
  3. Step 3: Cross multiply
    1,261.58x = 1,741.10 × 702.23
  4. Step 4: Simplify right side
    1,261.58x = 1,222,640.44
  5. Step 5: Solve for x
    x = 1,222,640.44/1,261.58
  6. Step 6: Final answer
    x = 969.14

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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.