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Finding the Fourth Proportional to 413.67, 570.21 and 347.25

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Solution

The fourth proportional to 413.67, 570.21 and 347.25 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.67 : 570.21 = 347.25 : x
  2. Step 2: Convert to fraction form
    413.67/570.21 = 347.25/x
  3. Step 3: Cross multiply
    413.67x = 570.21 × 347.25
  4. Step 4: Simplify right side
    413.67x = 198,005.42
  5. Step 5: Solve for x
    x = 198,005.42/413.67
  6. Step 6: Final answer
    x = 478.66

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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.