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Finding the Fourth Proportional to 1,097.09, 1,513.64 and 654.89

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Solution

The fourth proportional to 1,097.09, 1,513.64 and 654.89 is: 903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.09 : 1,513.64 = 654.89 : x
  2. Step 2: Convert to fraction form
    1,097.09/1,513.64 = 654.89/x
  3. Step 3: Cross multiply
    1,097.09x = 1,513.64 × 654.89
  4. Step 4: Simplify right side
    1,097.09x = 991,258.08
  5. Step 5: Solve for x
    x = 991,258.08/1,097.09
  6. Step 6: Final answer
    x = 903.53

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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.