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Finding the Fourth Proportional to 413.37, 569.43 and 319.95

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Solution

The fourth proportional to 413.37, 569.43 and 319.95 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.37 : 569.43 = 319.95 : x
  2. Step 2: Convert to fraction form
    413.37/569.43 = 319.95/x
  3. Step 3: Cross multiply
    413.37x = 569.43 × 319.95
  4. Step 4: Simplify right side
    413.37x = 182,189.13
  5. Step 5: Solve for x
    x = 182,189.13/413.37
  6. Step 6: Final answer
    x = 440.74

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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.