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Finding the Fourth Proportional to 709.78, 977.52 and 622.30

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Solution

The fourth proportional to 709.78, 977.52 and 622.30 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 977.52 = 622.30 : x
  2. Step 2: Convert to fraction form
    709.78/977.52 = 622.30/x
  3. Step 3: Cross multiply
    709.78x = 977.52 × 622.30
  4. Step 4: Simplify right side
    709.78x = 608,310.70
  5. Step 5: Solve for x
    x = 608,310.70/709.78
  6. Step 6: Final answer
    x = 857.04

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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.