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Finding the Fourth Proportional to 1,259.45, 1,889.91 and 528.97

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Solution

The fourth proportional to 1,259.45, 1,889.91 and 528.97 is: 793.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.45 : 1,889.91 = 528.97 : x
  2. Step 2: Convert to fraction form
    1,259.45/1,889.91 = 528.97/x
  3. Step 3: Cross multiply
    1,259.45x = 1,889.91 × 528.97
  4. Step 4: Simplify right side
    1,259.45x = 999,705.69
  5. Step 5: Solve for x
    x = 999,705.69/1,259.45
  6. Step 6: Final answer
    x = 793.76

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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.