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Finding the Fourth Proportional to 543.30, 813.39 and 413.80

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Solution

The fourth proportional to 543.30, 813.39 and 413.80 is: 619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.30 : 813.39 = 413.80 : x
  2. Step 2: Convert to fraction form
    543.30/813.39 = 413.80/x
  3. Step 3: Cross multiply
    543.30x = 813.39 × 413.80
  4. Step 4: Simplify right side
    543.30x = 336,580.78
  5. Step 5: Solve for x
    x = 336,580.78/543.30
  6. Step 6: Final answer
    x = 619.51

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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.