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Finding the Fourth Proportional to 573.43, 790.58 and 413.78

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Solution

The fourth proportional to 573.43, 790.58 and 413.78 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.43 : 790.58 = 413.78 : x
  2. Step 2: Convert to fraction form
    573.43/790.58 = 413.78/x
  3. Step 3: Cross multiply
    573.43x = 790.58 × 413.78
  4. Step 4: Simplify right side
    573.43x = 327,129.20
  5. Step 5: Solve for x
    x = 327,129.20/573.43
  6. Step 6: Final answer
    x = 570.48

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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.