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Finding the Fourth Proportional to 579.77, 798.35 and 496.81

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Solution

The fourth proportional to 579.77, 798.35 and 496.81 is: 684.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.77 : 798.35 = 496.81 : x
  2. Step 2: Convert to fraction form
    579.77/798.35 = 496.81/x
  3. Step 3: Cross multiply
    579.77x = 798.35 × 496.81
  4. Step 4: Simplify right side
    579.77x = 396,628.26
  5. Step 5: Solve for x
    x = 396,628.26/579.77
  6. Step 6: Final answer
    x = 684.11

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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.