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Finding the Fourth Proportional to 600.15, 827.43 and 413.31

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Solution

The fourth proportional to 600.15, 827.43 and 413.31 is: 569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.15 : 827.43 = 413.31 : x
  2. Step 2: Convert to fraction form
    600.15/827.43 = 413.31/x
  3. Step 3: Cross multiply
    600.15x = 827.43 × 413.31
  4. Step 4: Simplify right side
    600.15x = 341,985.09
  5. Step 5: Solve for x
    x = 341,985.09/600.15
  6. Step 6: Final answer
    x = 569.83

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1.5x scale

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.