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Finding the Fourth Proportional to 745.39, 1,118.07 and 258.43

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Solution

The fourth proportional to 745.39, 1,118.07 and 258.43 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.39 : 1,118.07 = 258.43 : x
  2. Step 2: Convert to fraction form
    745.39/1,118.07 = 258.43/x
  3. Step 3: Cross multiply
    745.39x = 1,118.07 × 258.43
  4. Step 4: Simplify right side
    745.39x = 288,942.83
  5. Step 5: Solve for x
    x = 288,942.83/745.39
  6. Step 6: Final answer
    x = 387.64

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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.