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Finding the Fourth Proportional to 627.71, 942.49 and 463.69

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Solution

The fourth proportional to 627.71, 942.49 and 463.69 is: 696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.71 : 942.49 = 463.69 : x
  2. Step 2: Convert to fraction form
    627.71/942.49 = 463.69/x
  3. Step 3: Cross multiply
    627.71x = 942.49 × 463.69
  4. Step 4: Simplify right side
    627.71x = 437,019.67
  5. Step 5: Solve for x
    x = 437,019.67/627.71
  6. Step 6: Final answer
    x = 696.21

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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.