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Finding the Fourth Proportional to 627.74, 942.17 and 435.50

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Solution

The fourth proportional to 627.74, 942.17 and 435.50 is: 653.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.74 : 942.17 = 435.50 : x
  2. Step 2: Convert to fraction form
    627.74/942.17 = 435.50/x
  3. Step 3: Cross multiply
    627.74x = 942.17 × 435.50
  4. Step 4: Simplify right side
    627.74x = 410,315.04
  5. Step 5: Solve for x
    x = 410,315.04/627.74
  6. Step 6: Final answer
    x = 653.64

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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.