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Finding the Fourth Proportional to 613.69, 846.74 and 389.54

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Solution

The fourth proportional to 613.69, 846.74 and 389.54 is: 537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.69 : 846.74 = 389.54 : x
  2. Step 2: Convert to fraction form
    613.69/846.74 = 389.54/x
  3. Step 3: Cross multiply
    613.69x = 846.74 × 389.54
  4. Step 4: Simplify right side
    613.69x = 329,832.92
  5. Step 5: Solve for x
    x = 329,832.92/613.69
  6. Step 6: Final answer
    x = 537.46

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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.