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Finding the Fourth Proportional to 763.33, 1,141.86 and 609.55

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Solution

The fourth proportional to 763.33, 1,141.86 and 609.55 is: 911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.33 : 1,141.86 = 609.55 : x
  2. Step 2: Convert to fraction form
    763.33/1,141.86 = 609.55/x
  3. Step 3: Cross multiply
    763.33x = 1,141.86 × 609.55
  4. Step 4: Simplify right side
    763.33x = 696,021.47
  5. Step 5: Solve for x
    x = 696,021.47/763.33
  6. Step 6: Final answer
    x = 911.83

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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.