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Finding the Fourth Proportional to 1,259.12, 1,885.21 and 950.03

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Solution

The fourth proportional to 1,259.12, 1,885.21 and 950.03 is: 1,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.12 : 1,885.21 = 950.03 : x
  2. Step 2: Convert to fraction form
    1,259.12/1,885.21 = 950.03/x
  3. Step 3: Cross multiply
    1,259.12x = 1,885.21 × 950.03
  4. Step 4: Simplify right side
    1,259.12x = 1,791,010.20
  5. Step 5: Solve for x
    x = 1,791,010.20/1,259.12
  6. Step 6: Final answer
    x = 1,422.43

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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.