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Finding the Fourth Proportional to 541.68, 811 and 413.04

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Solution

The fourth proportional to 541.68, 811 and 413.04 is: 618.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.68 : 811 = 413.04 : x
  2. Step 2: Convert to fraction form
    541.68/811 = 413.04/x
  3. Step 3: Cross multiply
    541.68x = 811 × 413.04
  4. Step 4: Simplify right side
    541.68x = 334,975.44
  5. Step 5: Solve for x
    x = 334,975.44/541.68
  6. Step 6: Final answer
    x = 618.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.