Home / 1,262.31-1,742.08-702.83

Finding the Fourth Proportional to 1,262.31, 1,742.08 and 702.83

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Solution

The fourth proportional to 1,262.31, 1,742.08 and 702.83 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.31 : 1,742.08 = 702.83 : x
  2. Step 2: Convert to fraction form
    1,262.31/1,742.08 = 702.83/x
  3. Step 3: Cross multiply
    1,262.31x = 1,742.08 × 702.83
  4. Step 4: Simplify right side
    1,262.31x = 1,224,387.69
  5. Step 5: Solve for x
    x = 1,224,387.69/1,262.31
  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.