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Finding the Fourth Proportional to 413.39, 570.16 and 289.01

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Solution

The fourth proportional to 413.39, 570.16 and 289.01 is: 398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.39 : 570.16 = 289.01 : x
  2. Step 2: Convert to fraction form
    413.39/570.16 = 289.01/x
  3. Step 3: Cross multiply
    413.39x = 570.16 × 289.01
  4. Step 4: Simplify right side
    413.39x = 164,781.94
  5. Step 5: Solve for x
    x = 164,781.94/413.39
  6. Step 6: Final answer
    x = 398.61

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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.