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Finding the Fourth Proportional to 1,841.40, 2,762.28 and 745.80

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Solution

The fourth proportional to 1,841.40, 2,762.28 and 745.80 is: 1,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.40 : 2,762.28 = 745.80 : x
  2. Step 2: Convert to fraction form
    1,841.40/2,762.28 = 745.80/x
  3. Step 3: Cross multiply
    1,841.40x = 2,762.28 × 745.80
  4. Step 4: Simplify right side
    1,841.40x = 2,060,108.42
  5. Step 5: Solve for x
    x = 2,060,108.42/1,841.40
  6. Step 6: Final answer
    x = 1,118.77

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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.