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Finding the Fourth Proportional to 579.13, 798.78 and 369.12

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Solution

The fourth proportional to 579.13, 798.78 and 369.12 is: 509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.13 : 798.78 = 369.12 : x
  2. Step 2: Convert to fraction form
    579.13/798.78 = 369.12/x
  3. Step 3: Cross multiply
    579.13x = 798.78 × 369.12
  4. Step 4: Simplify right side
    579.13x = 294,845.67
  5. Step 5: Solve for x
    x = 294,845.67/579.13
  6. Step 6: Final answer
    x = 509.12

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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.