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Finding the Fourth Proportional to 1,021.09, 1,531.63 and 654.97

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Solution

The fourth proportional to 1,021.09, 1,531.63 and 654.97 is: 982.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.09 : 1,531.63 = 654.97 : x
  2. Step 2: Convert to fraction form
    1,021.09/1,531.63 = 654.97/x
  3. Step 3: Cross multiply
    1,021.09x = 1,531.63 × 654.97
  4. Step 4: Simplify right side
    1,021.09x = 1,003,171.70
  5. Step 5: Solve for x
    x = 1,003,171.70/1,021.09
  6. Step 6: Final answer
    x = 982.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.