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Finding the Fourth Proportional to 1,444.03, 1,992.76 and 780.88

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Solution

The fourth proportional to 1,444.03, 1,992.76 and 780.88 is: 1,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.03 : 1,992.76 = 780.88 : x
  2. Step 2: Convert to fraction form
    1,444.03/1,992.76 = 780.88/x
  3. Step 3: Cross multiply
    1,444.03x = 1,992.76 × 780.88
  4. Step 4: Simplify right side
    1,444.03x = 1,556,107.58
  5. Step 5: Solve for x
    x = 1,556,107.58/1,444.03
  6. Step 6: Final answer
    x = 1,077.62

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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.