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Finding the Fourth Proportional to 413.69, 623.44 and 372.61

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Solution

The fourth proportional to 413.69, 623.44 and 372.61 is: 561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.69 : 623.44 = 372.61 : x
  2. Step 2: Convert to fraction form
    413.69/623.44 = 372.61/x
  3. Step 3: Cross multiply
    413.69x = 623.44 × 372.61
  4. Step 4: Simplify right side
    413.69x = 232,298.48
  5. Step 5: Solve for x
    x = 232,298.48/413.69
  6. Step 6: Final answer
    x = 561.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.