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Finding the Fourth Proportional to 634.30, 951.43 and 376.07

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Solution

The fourth proportional to 634.30, 951.43 and 376.07 is: 564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 951.43 = 376.07 : x
  2. Step 2: Convert to fraction form
    634.30/951.43 = 376.07/x
  3. Step 3: Cross multiply
    634.30x = 951.43 × 376.07
  4. Step 4: Simplify right side
    634.30x = 357,804.28
  5. Step 5: Solve for x
    x = 357,804.28/634.30
  6. Step 6: Final answer
    x = 564.09

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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.