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Finding the Fourth Proportional to 1,259.59, 1,889.34 and 739.19

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Solution

The fourth proportional to 1,259.59, 1,889.34 and 739.19 is: 1,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.59 : 1,889.34 = 739.19 : x
  2. Step 2: Convert to fraction form
    1,259.59/1,889.34 = 739.19/x
  3. Step 3: Cross multiply
    1,259.59x = 1,889.34 × 739.19
  4. Step 4: Simplify right side
    1,259.59x = 1,396,576.51
  5. Step 5: Solve for x
    x = 1,396,576.51/1,259.59
  6. Step 6: Final answer
    x = 1,108.76

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1.5x scale

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.