Home / 1,190.20-1,782.06-702.04

Finding the Fourth Proportional to 1,190.20, 1,782.06 and 702.04

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Solution

The fourth proportional to 1,190.20, 1,782.06 and 702.04 is: 1,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.20 : 1,782.06 = 702.04 : x
  2. Step 2: Convert to fraction form
    1,190.20/1,782.06 = 702.04/x
  3. Step 3: Cross multiply
    1,190.20x = 1,782.06 × 702.04
  4. Step 4: Simplify right side
    1,190.20x = 1,251,077.40
  5. Step 5: Solve for x
    x = 1,251,077.40/1,190.20
  6. Step 6: Final answer
    x = 1,051.15

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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.