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Finding the Fourth Proportional to 1,377.60, 1,900.80 and 1,045.44

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Solution

The fourth proportional to 1,377.60, 1,900.80 and 1,045.44 is: 1,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.60 : 1,900.80 = 1,045.44 : x
  2. Step 2: Convert to fraction form
    1,377.60/1,900.80 = 1,045.44/x
  3. Step 3: Cross multiply
    1,377.60x = 1,900.80 × 1,045.44
  4. Step 4: Simplify right side
    1,377.60x = 1,987,172.35
  5. Step 5: Solve for x
    x = 1,987,172.35/1,377.60
  6. Step 6: Final answer
    x = 1,442.49

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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.