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Finding the Fourth Proportional to 645.67, 891.41 and 459.37

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Solution

The fourth proportional to 645.67, 891.41 and 459.37 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.67 : 891.41 = 459.37 : x
  2. Step 2: Convert to fraction form
    645.67/891.41 = 459.37/x
  3. Step 3: Cross multiply
    645.67x = 891.41 × 459.37
  4. Step 4: Simplify right side
    645.67x = 409,485.83
  5. Step 5: Solve for x
    x = 409,485.83/645.67
  6. Step 6: Final answer
    x = 634.20

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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.