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Finding the Fourth Proportional to 745.83, 1,118.59 and 258.78

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Solution

The fourth proportional to 745.83, 1,118.59 and 258.78 is: 388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.83 : 1,118.59 = 258.78 : x
  2. Step 2: Convert to fraction form
    745.83/1,118.59 = 258.78/x
  3. Step 3: Cross multiply
    745.83x = 1,118.59 × 258.78
  4. Step 4: Simplify right side
    745.83x = 289,468.72
  5. Step 5: Solve for x
    x = 289,468.72/745.83
  6. Step 6: Final answer
    x = 388.12

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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.