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Finding the Fourth Proportional to 745.64, 1,118.46 and 232.64

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Solution

The fourth proportional to 745.64, 1,118.46 and 232.64 is: 348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.64 : 1,118.46 = 232.64 : x
  2. Step 2: Convert to fraction form
    745.64/1,118.46 = 232.64/x
  3. Step 3: Cross multiply
    745.64x = 1,118.46 × 232.64
  4. Step 4: Simplify right side
    745.64x = 260,198.53
  5. Step 5: Solve for x
    x = 260,198.53/745.64
  6. Step 6: Final answer
    x = 348.96

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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.