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Finding the Fourth Proportional to 746.06, 1,118.62 and 259.15

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Solution

The fourth proportional to 746.06, 1,118.62 and 259.15 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.06 : 1,118.62 = 259.15 : x
  2. Step 2: Convert to fraction form
    746.06/1,118.62 = 259.15/x
  3. Step 3: Cross multiply
    746.06x = 1,118.62 × 259.15
  4. Step 4: Simplify right side
    746.06x = 289,890.37
  5. Step 5: Solve for x
    x = 289,890.37/746.06
  6. Step 6: Final answer
    x = 388.56

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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.