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Finding the Fourth Proportional to 627.64, 858.46 and 617.56

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Solution

The fourth proportional to 627.64, 858.46 and 617.56 is: 844.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.64 : 858.46 = 617.56 : x
  2. Step 2: Convert to fraction form
    627.64/858.46 = 617.56/x
  3. Step 3: Cross multiply
    627.64x = 858.46 × 617.56
  4. Step 4: Simplify right side
    627.64x = 530,150.56
  5. Step 5: Solve for x
    x = 530,150.56/627.64
  6. Step 6: Final answer
    x = 844.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.