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Finding the Fourth Proportional to 1,034.65, 1,427.25 and 641.44

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Solution

The fourth proportional to 1,034.65, 1,427.25 and 641.44 is: 884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.65 : 1,427.25 = 641.44 : x
  2. Step 2: Convert to fraction form
    1,034.65/1,427.25 = 641.44/x
  3. Step 3: Cross multiply
    1,034.65x = 1,427.25 × 641.44
  4. Step 4: Simplify right side
    1,034.65x = 915,495.24
  5. Step 5: Solve for x
    x = 915,495.24/1,034.65
  6. Step 6: Final answer
    x = 884.84

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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.