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Finding the Fourth Proportional to 762.41, 1,143.54 and 214.62

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Solution

The fourth proportional to 762.41, 1,143.54 and 214.62 is: 321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.41 : 1,143.54 = 214.62 : x
  2. Step 2: Convert to fraction form
    762.41/1,143.54 = 214.62/x
  3. Step 3: Cross multiply
    762.41x = 1,143.54 × 214.62
  4. Step 4: Simplify right side
    762.41x = 245,426.55
  5. Step 5: Solve for x
    x = 245,426.55/762.41
  6. Step 6: Final answer
    x = 321.91

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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.