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Finding the Fourth Proportional to 1,087.74, 1,629.45 and 655.74

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Solution

The fourth proportional to 1,087.74, 1,629.45 and 655.74 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.74 : 1,629.45 = 655.74 : x
  2. Step 2: Convert to fraction form
    1,087.74/1,629.45 = 655.74/x
  3. Step 3: Cross multiply
    1,087.74x = 1,629.45 × 655.74
  4. Step 4: Simplify right side
    1,087.74x = 1,068,495.54
  5. Step 5: Solve for x
    x = 1,068,495.54/1,087.74
  6. Step 6: Final answer
    x = 982.31

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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.