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Finding the Fourth Proportional to 413.83, 621.15 and 315.41

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Solution

The fourth proportional to 413.83, 621.15 and 315.41 is: 473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 621.15 = 315.41 : x
  2. Step 2: Convert to fraction form
    413.83/621.15 = 315.41/x
  3. Step 3: Cross multiply
    413.83x = 621.15 × 315.41
  4. Step 4: Simplify right side
    413.83x = 195,915.34
  5. Step 5: Solve for x
    x = 195,915.34/413.83
  6. Step 6: Final answer
    x = 473.43

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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.