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Finding the Fourth Proportional to 612.45, 845.28 and 446.45

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Solution

The fourth proportional to 612.45, 845.28 and 446.45 is: 616.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.45 : 845.28 = 446.45 : x
  2. Step 2: Convert to fraction form
    612.45/845.28 = 446.45/x
  3. Step 3: Cross multiply
    612.45x = 845.28 × 446.45
  4. Step 4: Simplify right side
    612.45x = 377,371.03
  5. Step 5: Solve for x
    x = 377,371.03/612.45
  6. Step 6: Final answer
    x = 616.17

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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.