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Finding the Fourth Proportional to 612.73, 845.67 and 465.09

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Solution

The fourth proportional to 612.73, 845.67 and 465.09 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.73 : 845.67 = 465.09 : x
  2. Step 2: Convert to fraction form
    612.73/845.67 = 465.09/x
  3. Step 3: Cross multiply
    612.73x = 845.67 × 465.09
  4. Step 4: Simplify right side
    612.73x = 393,312.66
  5. Step 5: Solve for x
    x = 393,312.66/612.73
  6. Step 6: Final answer
    x = 641.90

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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.