Home / 1,262.49-1,742.13-702.92

Finding the Fourth Proportional to 1,262.49, 1,742.13 and 702.92

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Solution

The fourth proportional to 1,262.49, 1,742.13 and 702.92 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.49 : 1,742.13 = 702.92 : x
  2. Step 2: Convert to fraction form
    1,262.49/1,742.13 = 702.92/x
  3. Step 3: Cross multiply
    1,262.49x = 1,742.13 × 702.92
  4. Step 4: Simplify right side
    1,262.49x = 1,224,569.31
  5. Step 5: Solve for x
    x = 1,224,569.31/1,262.49
  6. Step 6: Final answer
    x = 969.96

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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.