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Finding the Fourth Proportional to 703.31, 970.83 and 629.49

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Solution

The fourth proportional to 703.31, 970.83 and 629.49 is: 868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.31 : 970.83 = 629.49 : x
  2. Step 2: Convert to fraction form
    703.31/970.83 = 629.49/x
  3. Step 3: Cross multiply
    703.31x = 970.83 × 629.49
  4. Step 4: Simplify right side
    703.31x = 611,127.78
  5. Step 5: Solve for x
    x = 611,127.78/703.31
  6. Step 6: Final answer
    x = 868.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.