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Finding the Fourth Proportional to 1,259.90, 1,883.21 and 1,094.05

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Solution

The fourth proportional to 1,259.90, 1,883.21 and 1,094.05 is: 1,635.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.90 : 1,883.21 = 1,094.05 : x
  2. Step 2: Convert to fraction form
    1,259.90/1,883.21 = 1,094.05/x
  3. Step 3: Cross multiply
    1,259.90x = 1,883.21 × 1,094.05
  4. Step 4: Simplify right side
    1,259.90x = 2,060,325.98
  5. Step 5: Solve for x
    x = 2,060,325.98/1,259.90
  6. Step 6: Final answer
    x = 1,635.32

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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.