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Finding the Fourth Proportional to 1,033.98, 1,427.19 and 641.10

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Solution

The fourth proportional to 1,033.98, 1,427.19 and 641.10 is: 884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.98 : 1,427.19 = 641.10 : x
  2. Step 2: Convert to fraction form
    1,033.98/1,427.19 = 641.10/x
  3. Step 3: Cross multiply
    1,033.98x = 1,427.19 × 641.10
  4. Step 4: Simplify right side
    1,033.98x = 914,971.51
  5. Step 5: Solve for x
    x = 914,971.51/1,033.98
  6. Step 6: Final answer
    x = 884.90

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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.