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Finding the Fourth Proportional to 1,096.59, 1,513.20 and 654.66

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Solution

The fourth proportional to 1,096.59, 1,513.20 and 654.66 is: 903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.59 : 1,513.20 = 654.66 : x
  2. Step 2: Convert to fraction form
    1,096.59/1,513.20 = 654.66/x
  3. Step 3: Cross multiply
    1,096.59x = 1,513.20 × 654.66
  4. Step 4: Simplify right side
    1,096.59x = 990,631.51
  5. Step 5: Solve for x
    x = 990,631.51/1,096.59
  6. Step 6: Final answer
    x = 903.37

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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.