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Finding the Fourth Proportional to 421.80, 578.63 and 411

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Solution

The fourth proportional to 421.80, 578.63 and 411 is: 563.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.80 : 578.63 = 411 : x
  2. Step 2: Convert to fraction form
    421.80/578.63 = 411/x
  3. Step 3: Cross multiply
    421.80x = 578.63 × 411
  4. Step 4: Simplify right side
    421.80x = 237,816.93
  5. Step 5: Solve for x
    x = 237,816.93/421.80
  6. Step 6: Final answer
    x = 563.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.