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Finding the Fourth Proportional to 505.35, 696.52 and 385.67

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Solution

The fourth proportional to 505.35, 696.52 and 385.67 is: 531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.35 : 696.52 = 385.67 : x
  2. Step 2: Convert to fraction form
    505.35/696.52 = 385.67/x
  3. Step 3: Cross multiply
    505.35x = 696.52 × 385.67
  4. Step 4: Simplify right side
    505.35x = 268,626.48
  5. Step 5: Solve for x
    x = 268,626.48/505.35
  6. Step 6: Final answer
    x = 531.57

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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.