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Finding the Fourth Proportional to 634.70, 942.87 and 623.90

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Solution

The fourth proportional to 634.70, 942.87 and 623.90 is: 926.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.70 : 942.87 = 623.90 : x
  2. Step 2: Convert to fraction form
    634.70/942.87 = 623.90/x
  3. Step 3: Cross multiply
    634.70x = 942.87 × 623.90
  4. Step 4: Simplify right side
    634.70x = 588,253.47
  5. Step 5: Solve for x
    x = 588,253.47/634.70
  6. Step 6: Final answer
    x = 926.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.