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Finding the Fourth Proportional to 1,395.44, 2,093.48 and 654.50

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Solution

The fourth proportional to 1,395.44, 2,093.48 and 654.50 is: 981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.44 : 2,093.48 = 654.50 : x
  2. Step 2: Convert to fraction form
    1,395.44/2,093.48 = 654.50/x
  3. Step 3: Cross multiply
    1,395.44x = 2,093.48 × 654.50
  4. Step 4: Simplify right side
    1,395.44x = 1,370,182.66
  5. Step 5: Solve for x
    x = 1,370,182.66/1,395.44
  6. Step 6: Final answer
    x = 981.90

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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.