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Finding the Fourth Proportional to 1,053.37, 1,578.30 and 641.26

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Solution

The fourth proportional to 1,053.37, 1,578.30 and 641.26 is: 960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.37 : 1,578.30 = 641.26 : x
  2. Step 2: Convert to fraction form
    1,053.37/1,578.30 = 641.26/x
  3. Step 3: Cross multiply
    1,053.37x = 1,578.30 × 641.26
  4. Step 4: Simplify right side
    1,053.37x = 1,012,100.66
  5. Step 5: Solve for x
    x = 1,012,100.66/1,053.37
  6. Step 6: Final answer
    x = 960.82

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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.