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Finding the Fourth Proportional to 633.56, 874 and 459.08

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Solution

The fourth proportional to 633.56, 874 and 459.08 is: 633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 874 = 459.08 : x
  2. Step 2: Convert to fraction form
    633.56/874 = 459.08/x
  3. Step 3: Cross multiply
    633.56x = 874 × 459.08
  4. Step 4: Simplify right side
    633.56x = 401,235.92
  5. Step 5: Solve for x
    x = 401,235.92/633.56
  6. Step 6: Final answer
    x = 633.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.