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Finding the Fourth Proportional to 612.02, 843.51 and 445.90

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Solution

The fourth proportional to 612.02, 843.51 and 445.90 is: 614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.02 : 843.51 = 445.90 : x
  2. Step 2: Convert to fraction form
    612.02/843.51 = 445.90/x
  3. Step 3: Cross multiply
    612.02x = 843.51 × 445.90
  4. Step 4: Simplify right side
    612.02x = 376,121.11
  5. Step 5: Solve for x
    x = 376,121.11/612.02
  6. Step 6: Final answer
    x = 614.56

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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.