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Finding the Fourth Proportional to 1,200.41, 1,656.56 and 648.41

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Solution

The fourth proportional to 1,200.41, 1,656.56 and 648.41 is: 894.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.41 : 1,656.56 = 648.41 : x
  2. Step 2: Convert to fraction form
    1,200.41/1,656.56 = 648.41/x
  3. Step 3: Cross multiply
    1,200.41x = 1,656.56 × 648.41
  4. Step 4: Simplify right side
    1,200.41x = 1,074,125.93
  5. Step 5: Solve for x
    x = 1,074,125.93/1,200.41
  6. Step 6: Final answer
    x = 894.80

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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.