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Finding the Fourth Proportional to 529.50, 793.82 and 413.59

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Solution

The fourth proportional to 529.50, 793.82 and 413.59 is: 620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 793.82 = 413.59 : x
  2. Step 2: Convert to fraction form
    529.50/793.82 = 413.59/x
  3. Step 3: Cross multiply
    529.50x = 793.82 × 413.59
  4. Step 4: Simplify right side
    529.50x = 328,316.01
  5. Step 5: Solve for x
    x = 328,316.01/529.50
  6. Step 6: Final answer
    x = 620.05

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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.