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Finding the Fourth Proportional to 763.70, 1,144.83 and 301.39

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Solution

The fourth proportional to 763.70, 1,144.83 and 301.39 is: 451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.70 : 1,144.83 = 301.39 : x
  2. Step 2: Convert to fraction form
    763.70/1,144.83 = 301.39/x
  3. Step 3: Cross multiply
    763.70x = 1,144.83 × 301.39
  4. Step 4: Simplify right side
    763.70x = 345,038.58
  5. Step 5: Solve for x
    x = 345,038.58/763.70
  6. Step 6: Final answer
    x = 451.80

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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.