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Finding the Fourth Proportional to 413.97, 620.54 and 260.01

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Solution

The fourth proportional to 413.97, 620.54 and 260.01 is: 389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.97 : 620.54 = 260.01 : x
  2. Step 2: Convert to fraction form
    413.97/620.54 = 260.01/x
  3. Step 3: Cross multiply
    413.97x = 620.54 × 260.01
  4. Step 4: Simplify right side
    413.97x = 161,342.20
  5. Step 5: Solve for x
    x = 161,342.20/413.97
  6. Step 6: Final answer
    x = 389.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.