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Finding the Fourth Proportional to 417.98, 627.57 and 308.63

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Solution

The fourth proportional to 417.98, 627.57 and 308.63 is: 463.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 627.57 = 308.63 : x
  2. Step 2: Convert to fraction form
    417.98/627.57 = 308.63/x
  3. Step 3: Cross multiply
    417.98x = 627.57 × 308.63
  4. Step 4: Simplify right side
    417.98x = 193,685.35
  5. Step 5: Solve for x
    x = 193,685.35/417.98
  6. Step 6: Final answer
    x = 463.39

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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.