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Finding the Fourth Proportional to 505.07, 696.35 and 327.72

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Solution

The fourth proportional to 505.07, 696.35 and 327.72 is: 451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.07 : 696.35 = 327.72 : x
  2. Step 2: Convert to fraction form
    505.07/696.35 = 327.72/x
  3. Step 3: Cross multiply
    505.07x = 696.35 × 327.72
  4. Step 4: Simplify right side
    505.07x = 228,206.18
  5. Step 5: Solve for x
    x = 228,206.18/505.07
  6. Step 6: Final answer
    x = 451.84

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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.