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Finding the Fourth Proportional to 1,193.69, 1,789.80 and 535.44

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Solution

The fourth proportional to 1,193.69, 1,789.80 and 535.44 is: 802.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.69 : 1,789.80 = 535.44 : x
  2. Step 2: Convert to fraction form
    1,193.69/1,789.80 = 535.44/x
  3. Step 3: Cross multiply
    1,193.69x = 1,789.80 × 535.44
  4. Step 4: Simplify right side
    1,193.69x = 958,330.51
  5. Step 5: Solve for x
    x = 958,330.51/1,193.69
  6. Step 6: Final answer
    x = 802.83

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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.