Home / 1,194.31-1,789.92-535.70

Finding the Fourth Proportional to 1,194.31, 1,789.92 and 535.70

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Solution

The fourth proportional to 1,194.31, 1,789.92 and 535.70 is: 802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.31 : 1,789.92 = 535.70 : x
  2. Step 2: Convert to fraction form
    1,194.31/1,789.92 = 535.70/x
  3. Step 3: Cross multiply
    1,194.31x = 1,789.92 × 535.70
  4. Step 4: Simplify right side
    1,194.31x = 958,860.14
  5. Step 5: Solve for x
    x = 958,860.14/1,194.31
  6. Step 6: Final answer
    x = 802.86

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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.