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Finding the Fourth Proportional to 745.43, 1,027.10 and 612.20

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Solution

The fourth proportional to 745.43, 1,027.10 and 612.20 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.43 : 1,027.10 = 612.20 : x
  2. Step 2: Convert to fraction form
    745.43/1,027.10 = 612.20/x
  3. Step 3: Cross multiply
    745.43x = 1,027.10 × 612.20
  4. Step 4: Simplify right side
    745.43x = 628,782.42
  5. Step 5: Solve for x
    x = 628,782.42/745.43
  6. Step 6: Final answer
    x = 843.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.