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Finding the Fourth Proportional to 1,053.78, 1,581.75 and 745.98

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Solution

The fourth proportional to 1,053.78, 1,581.75 and 745.98 is: 1,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.78 : 1,581.75 = 745.98 : x
  2. Step 2: Convert to fraction form
    1,053.78/1,581.75 = 745.98/x
  3. Step 3: Cross multiply
    1,053.78x = 1,581.75 × 745.98
  4. Step 4: Simplify right side
    1,053.78x = 1,179,953.87
  5. Step 5: Solve for x
    x = 1,179,953.87/1,053.78
  6. Step 6: Final answer
    x = 1,119.73

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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.