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Finding the Fourth Proportional to 855.98, 1,283.93 and 595.21

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Solution

The fourth proportional to 855.98, 1,283.93 and 595.21 is: 892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.98 : 1,283.93 = 595.21 : x
  2. Step 2: Convert to fraction form
    855.98/1,283.93 = 595.21/x
  3. Step 3: Cross multiply
    855.98x = 1,283.93 × 595.21
  4. Step 4: Simplify right side
    855.98x = 764,207.98
  5. Step 5: Solve for x
    x = 764,207.98/855.98
  6. Step 6: Final answer
    x = 892.79

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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.