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Finding the Fourth Proportional to 461.42, 639.51 and 452.78

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Solution

The fourth proportional to 461.42, 639.51 and 452.78 is: 627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 639.51 = 452.78 : x
  2. Step 2: Convert to fraction form
    461.42/639.51 = 452.78/x
  3. Step 3: Cross multiply
    461.42x = 639.51 × 452.78
  4. Step 4: Simplify right side
    461.42x = 289,559.79
  5. Step 5: Solve for x
    x = 289,559.79/461.42
  6. Step 6: Final answer
    x = 627.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.