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Finding the Fourth Proportional to 627.84, 941.85 and 280.98

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Solution

The fourth proportional to 627.84, 941.85 and 280.98 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 941.85 = 280.98 : x
  2. Step 2: Convert to fraction form
    627.84/941.85 = 280.98/x
  3. Step 3: Cross multiply
    627.84x = 941.85 × 280.98
  4. Step 4: Simplify right side
    627.84x = 264,641.01
  5. Step 5: Solve for x
    x = 264,641.01/627.84
  6. Step 6: Final answer
    x = 421.51

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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.