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Finding the Fourth Proportional to 1,055.49, 1,453.21 and 889.30

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Solution

The fourth proportional to 1,055.49, 1,453.21 and 889.30 is: 1,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.49 : 1,453.21 = 889.30 : x
  2. Step 2: Convert to fraction form
    1,055.49/1,453.21 = 889.30/x
  3. Step 3: Cross multiply
    1,055.49x = 1,453.21 × 889.30
  4. Step 4: Simplify right side
    1,055.49x = 1,292,339.65
  5. Step 5: Solve for x
    x = 1,292,339.65/1,055.49
  6. Step 6: Final answer
    x = 1,224.40

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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.