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Finding the Fourth Proportional to 612.68, 845.26 and 376.46

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Solution

The fourth proportional to 612.68, 845.26 and 376.46 is: 519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.68 : 845.26 = 376.46 : x
  2. Step 2: Convert to fraction form
    612.68/845.26 = 376.46/x
  3. Step 3: Cross multiply
    612.68x = 845.26 × 376.46
  4. Step 4: Simplify right side
    612.68x = 318,206.58
  5. Step 5: Solve for x
    x = 318,206.58/612.68
  6. Step 6: Final answer
    x = 519.37

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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.