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Finding the Fourth Proportional to 413.98, 616.08 and 400.48

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Solution

The fourth proportional to 413.98, 616.08 and 400.48 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.98 : 616.08 = 400.48 : x
  2. Step 2: Convert to fraction form
    413.98/616.08 = 400.48/x
  3. Step 3: Cross multiply
    413.98x = 616.08 × 400.48
  4. Step 4: Simplify right side
    413.98x = 246,727.72
  5. Step 5: Solve for x
    x = 246,727.72/413.98
  6. Step 6: Final answer
    x = 595.99

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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.