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Finding the Fourth Proportional to 413.55, 569.70 and 388.05

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Solution

The fourth proportional to 413.55, 569.70 and 388.05 is: 534.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.55 : 569.70 = 388.05 : x
  2. Step 2: Convert to fraction form
    413.55/569.70 = 388.05/x
  3. Step 3: Cross multiply
    413.55x = 569.70 × 388.05
  4. Step 4: Simplify right side
    413.55x = 221,072.09
  5. Step 5: Solve for x
    x = 221,072.09/413.55
  6. Step 6: Final answer
    x = 534.57

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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.