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Finding the Fourth Proportional to 633.64, 949.74 and 345.32

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Solution

The fourth proportional to 633.64, 949.74 and 345.32 is: 517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.64 : 949.74 = 345.32 : x
  2. Step 2: Convert to fraction form
    633.64/949.74 = 345.32/x
  3. Step 3: Cross multiply
    633.64x = 949.74 × 345.32
  4. Step 4: Simplify right side
    633.64x = 327,964.22
  5. Step 5: Solve for x
    x = 327,964.22/633.64
  6. Step 6: Final answer
    x = 517.59

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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.