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Finding the Fourth Proportional to 671.86, 1,003.76 and 648.84

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Solution

The fourth proportional to 671.86, 1,003.76 and 648.84 is: 969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.86 : 1,003.76 = 648.84 : x
  2. Step 2: Convert to fraction form
    671.86/1,003.76 = 648.84/x
  3. Step 3: Cross multiply
    671.86x = 1,003.76 × 648.84
  4. Step 4: Simplify right side
    671.86x = 651,282.59
  5. Step 5: Solve for x
    x = 651,282.59/671.86
  6. Step 6: Final answer
    x = 969.37

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