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Finding the Fourth Proportional to 1,096.52, 1,513.08 and 654.36

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Solution

The fourth proportional to 1,096.52, 1,513.08 and 654.36 is: 902.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.52 : 1,513.08 = 654.36 : x
  2. Step 2: Convert to fraction form
    1,096.52/1,513.08 = 654.36/x
  3. Step 3: Cross multiply
    1,096.52x = 1,513.08 × 654.36
  4. Step 4: Simplify right side
    1,096.52x = 990,099.03
  5. Step 5: Solve for x
    x = 990,099.03/1,096.52
  6. Step 6: Final answer
    x = 902.95

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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.