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Finding the Fourth Proportional to 762, 1,142.95 and 214.17

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Solution

The fourth proportional to 762, 1,142.95 and 214.17 is: 321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    762 : 1,142.95 = 214.17 : x
  2. Step 2: Convert to fraction form
    762/1,142.95 = 214.17/x
  3. Step 3: Cross multiply
    762x = 1,142.95 × 214.17
  4. Step 4: Simplify right side
    762x = 244,785.60
  5. Step 5: Solve for x
    x = 244,785.60/762
  6. Step 6: Final answer
    x = 321.24

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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.