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Finding the Fourth Proportional to 579.17, 798.44 and 413.12

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Solution

The fourth proportional to 579.17, 798.44 and 413.12 is: 569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.17 : 798.44 = 413.12 : x
  2. Step 2: Convert to fraction form
    579.17/798.44 = 413.12/x
  3. Step 3: Cross multiply
    579.17x = 798.44 × 413.12
  4. Step 4: Simplify right side
    579.17x = 329,845.48
  5. Step 5: Solve for x
    x = 329,845.48/579.17
  6. Step 6: Final answer
    x = 569.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.