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Finding the Fourth Proportional to 868.14, 1,196.78 and 619.03

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Solution

The fourth proportional to 868.14, 1,196.78 and 619.03 is: 853.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.14 : 1,196.78 = 619.03 : x
  2. Step 2: Convert to fraction form
    868.14/1,196.78 = 619.03/x
  3. Step 3: Cross multiply
    868.14x = 1,196.78 × 619.03
  4. Step 4: Simplify right side
    868.14x = 740,838.29
  5. Step 5: Solve for x
    x = 740,838.29/868.14
  6. Step 6: Final answer
    x = 853.37

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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.