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Finding the Fourth Proportional to 413.76, 570.40 and 289.23

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Solution

The fourth proportional to 413.76, 570.40 and 289.23 is: 398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 570.40 = 289.23 : x
  2. Step 2: Convert to fraction form
    413.76/570.40 = 289.23/x
  3. Step 3: Cross multiply
    413.76x = 570.40 × 289.23
  4. Step 4: Simplify right side
    413.76x = 164,976.79
  5. Step 5: Solve for x
    x = 164,976.79/413.76
  6. Step 6: Final answer
    x = 398.73

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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.