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Finding the Fourth Proportional to 413.10, 617.02 and 374

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Solution

The fourth proportional to 413.10, 617.02 and 374 is: 558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 617.02 = 374 : x
  2. Step 2: Convert to fraction form
    413.10/617.02 = 374/x
  3. Step 3: Cross multiply
    413.10x = 617.02 × 374
  4. Step 4: Simplify right side
    413.10x = 230,765.48
  5. Step 5: Solve for x
    x = 230,765.48/413.10
  6. Step 6: Final answer
    x = 558.62

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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.