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Finding the Fourth Proportional to 413.04, 616.20 and 401.28

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Solution

The fourth proportional to 413.04, 616.20 and 401.28 is: 598.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 616.20 = 401.28 : x
  2. Step 2: Convert to fraction form
    413.04/616.20 = 401.28/x
  3. Step 3: Cross multiply
    413.04x = 616.20 × 401.28
  4. Step 4: Simplify right side
    413.04x = 247,268.74
  5. Step 5: Solve for x
    x = 247,268.74/413.04
  6. Step 6: Final answer
    x = 598.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.