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Finding the Fourth Proportional to 612.32, 845.30 and 446.47

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Solution

The fourth proportional to 612.32, 845.30 and 446.47 is: 616.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.32 : 845.30 = 446.47 : x
  2. Step 2: Convert to fraction form
    612.32/845.30 = 446.47/x
  3. Step 3: Cross multiply
    612.32x = 845.30 × 446.47
  4. Step 4: Simplify right side
    612.32x = 377,400.09
  5. Step 5: Solve for x
    x = 377,400.09/612.32
  6. Step 6: Final answer
    x = 616.35

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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.