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Finding the Fourth Proportional to 413.84, 615.74 and 412.43

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Solution

The fourth proportional to 413.84, 615.74 and 412.43 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 615.74 = 412.43 : x
  2. Step 2: Convert to fraction form
    413.84/615.74 = 412.43/x
  3. Step 3: Cross multiply
    413.84x = 615.74 × 412.43
  4. Step 4: Simplify right side
    413.84x = 253,944.51
  5. Step 5: Solve for x
    x = 253,944.51/413.84
  6. Step 6: Final answer
    x = 613.63

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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.