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Finding the Fourth Proportional to 841.73, 1,263.12 and 321.78

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Solution

The fourth proportional to 841.73, 1,263.12 and 321.78 is: 482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.73 : 1,263.12 = 321.78 : x
  2. Step 2: Convert to fraction form
    841.73/1,263.12 = 321.78/x
  3. Step 3: Cross multiply
    841.73x = 1,263.12 × 321.78
  4. Step 4: Simplify right side
    841.73x = 406,446.75
  5. Step 5: Solve for x
    x = 406,446.75/841.73
  6. Step 6: Final answer
    x = 482.87

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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.