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Finding the Fourth Proportional to 630.78, 869.67 and 622.14

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Solution

The fourth proportional to 630.78, 869.67 and 622.14 is: 857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.78 : 869.67 = 622.14 : x
  2. Step 2: Convert to fraction form
    630.78/869.67 = 622.14/x
  3. Step 3: Cross multiply
    630.78x = 869.67 × 622.14
  4. Step 4: Simplify right side
    630.78x = 541,056.49
  5. Step 5: Solve for x
    x = 541,056.49/630.78
  6. Step 6: Final answer
    x = 857.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.