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Finding the Fourth Proportional to 1,259.98, 1,889.82 and 479.65

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Solution

The fourth proportional to 1,259.98, 1,889.82 and 479.65 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.98 : 1,889.82 = 479.65 : x
  2. Step 2: Convert to fraction form
    1,259.98/1,889.82 = 479.65/x
  3. Step 3: Cross multiply
    1,259.98x = 1,889.82 × 479.65
  4. Step 4: Simplify right side
    1,259.98x = 906,447.44
  5. Step 5: Solve for x
    x = 906,447.44/1,259.98
  6. Step 6: Final answer
    x = 719.41

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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.