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Finding the Fourth Proportional to 1,100.63, 1,648.71 and 917.43

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Solution

The fourth proportional to 1,100.63, 1,648.71 and 917.43 is: 1,374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.63 : 1,648.71 = 917.43 : x
  2. Step 2: Convert to fraction form
    1,100.63/1,648.71 = 917.43/x
  3. Step 3: Cross multiply
    1,100.63x = 1,648.71 × 917.43
  4. Step 4: Simplify right side
    1,100.63x = 1,512,576.02
  5. Step 5: Solve for x
    x = 1,512,576.02/1,100.63
  6. Step 6: Final answer
    x = 1,374.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.