Home / 1,318.70-1,976.87-702.84

Finding the Fourth Proportional to 1,318.70, 1,976.87 and 702.84

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Solution

The fourth proportional to 1,318.70, 1,976.87 and 702.84 is: 1,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.70 : 1,976.87 = 702.84 : x
  2. Step 2: Convert to fraction form
    1,318.70/1,976.87 = 702.84/x
  3. Step 3: Cross multiply
    1,318.70x = 1,976.87 × 702.84
  4. Step 4: Simplify right side
    1,318.70x = 1,389,419.80
  5. Step 5: Solve for x
    x = 1,389,419.80/1,318.70
  6. Step 6: Final answer
    x = 1,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.