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Finding the Fourth Proportional to 762.37, 1,143.60 and 214.54

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Solution

The fourth proportional to 762.37, 1,143.60 and 214.54 is: 321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.37 : 1,143.60 = 214.54 : x
  2. Step 2: Convert to fraction form
    762.37/1,143.60 = 214.54/x
  3. Step 3: Cross multiply
    762.37x = 1,143.60 × 214.54
  4. Step 4: Simplify right side
    762.37x = 245,350.71
  5. Step 5: Solve for x
    x = 245,350.71/762.37
  6. Step 6: Final answer
    x = 321.82

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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.