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Finding the Fourth Proportional to 1,279.95, 1,912.83 and 1,030.41

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Solution

The fourth proportional to 1,279.95, 1,912.83 and 1,030.41 is: 1,539.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.95 : 1,912.83 = 1,030.41 : x
  2. Step 2: Convert to fraction form
    1,279.95/1,912.83 = 1,030.41/x
  3. Step 3: Cross multiply
    1,279.95x = 1,912.83 × 1,030.41
  4. Step 4: Simplify right side
    1,279.95x = 1,970,999.16
  5. Step 5: Solve for x
    x = 1,970,999.16/1,279.95
  6. Step 6: Final answer
    x = 1,539.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.