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Finding the Fourth Proportional to 627.09, 859.80 and 595.77

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Solution

The fourth proportional to 627.09, 859.80 and 595.77 is: 816.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.09 : 859.80 = 595.77 : x
  2. Step 2: Convert to fraction form
    627.09/859.80 = 595.77/x
  3. Step 3: Cross multiply
    627.09x = 859.80 × 595.77
  4. Step 4: Simplify right side
    627.09x = 512,243.05
  5. Step 5: Solve for x
    x = 512,243.05/627.09
  6. Step 6: Final answer
    x = 816.86

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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.