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Finding the Fourth Proportional to 413.45, 616.15 and 400.94

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Solution

The fourth proportional to 413.45, 616.15 and 400.94 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.45 : 616.15 = 400.94 : x
  2. Step 2: Convert to fraction form
    413.45/616.15 = 400.94/x
  3. Step 3: Cross multiply
    413.45x = 616.15 × 400.94
  4. Step 4: Simplify right side
    413.45x = 247,036.10
  5. Step 5: Solve for x
    x = 247,036.10/413.45
  6. Step 6: Final answer
    x = 597.50

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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.