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Finding the Fourth Proportional to 1,096.66, 1,513.20 and 654.54

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Solution

The fourth proportional to 1,096.66, 1,513.20 and 654.54 is: 903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.66 : 1,513.20 = 654.54 : x
  2. Step 2: Convert to fraction form
    1,096.66/1,513.20 = 654.54/x
  3. Step 3: Cross multiply
    1,096.66x = 1,513.20 × 654.54
  4. Step 4: Simplify right side
    1,096.66x = 990,442.36
  5. Step 5: Solve for x
    x = 990,442.36/1,096.66
  6. Step 6: Final answer
    x = 903.14

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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.