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Finding the Fourth Proportional to 413.80, 570.84 and 320.56

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Solution

The fourth proportional to 413.80, 570.84 and 320.56 is: 442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.80 : 570.84 = 320.56 : x
  2. Step 2: Convert to fraction form
    413.80/570.84 = 320.56/x
  3. Step 3: Cross multiply
    413.80x = 570.84 × 320.56
  4. Step 4: Simplify right side
    413.80x = 182,988.47
  5. Step 5: Solve for x
    x = 182,988.47/413.80
  6. Step 6: Final answer
    x = 442.21

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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.