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Finding the Fourth Proportional to 1,096.08, 1,512.68 and 654.05

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Solution

The fourth proportional to 1,096.08, 1,512.68 and 654.05 is: 902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.08 : 1,512.68 = 654.05 : x
  2. Step 2: Convert to fraction form
    1,096.08/1,512.68 = 654.05/x
  3. Step 3: Cross multiply
    1,096.08x = 1,512.68 × 654.05
  4. Step 4: Simplify right side
    1,096.08x = 989,364.61
  5. Step 5: Solve for x
    x = 989,364.61/1,096.08
  6. Step 6: Final answer
    x = 902.64

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Why These Related Problems?

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