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Finding the Fourth Proportional to 412.05, 613.74 and 403.51

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Solution

The fourth proportional to 412.05, 613.74 and 403.51 is: 601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.05 : 613.74 = 403.51 : x
  2. Step 2: Convert to fraction form
    412.05/613.74 = 403.51/x
  3. Step 3: Cross multiply
    412.05x = 613.74 × 403.51
  4. Step 4: Simplify right side
    412.05x = 247,650.23
  5. Step 5: Solve for x
    x = 247,650.23/412.05
  6. Step 6: Final answer
    x = 601.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.