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Finding the Fourth Proportional to 955.53, 1,432.46 and 428.03

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Solution

The fourth proportional to 955.53, 1,432.46 and 428.03 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.53 : 1,432.46 = 428.03 : x
  2. Step 2: Convert to fraction form
    955.53/1,432.46 = 428.03/x
  3. Step 3: Cross multiply
    955.53x = 1,432.46 × 428.03
  4. Step 4: Simplify right side
    955.53x = 613,135.85
  5. Step 5: Solve for x
    x = 613,135.85/955.53
  6. Step 6: Final answer
    x = 641.67

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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.