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Finding the Fourth Proportional to 1,262.10, 1,890 and 798.48

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Solution

The fourth proportional to 1,262.10, 1,890 and 798.48 is: 1,195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.10 : 1,890 = 798.48 : x
  2. Step 2: Convert to fraction form
    1,262.10/1,890 = 798.48/x
  3. Step 3: Cross multiply
    1,262.10x = 1,890 × 798.48
  4. Step 4: Simplify right side
    1,262.10x = 1,509,127.20
  5. Step 5: Solve for x
    x = 1,509,127.20/1,262.10
  6. Step 6: Final answer
    x = 1,195.73

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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.