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Finding the Fourth Proportional to 576.51, 793.59 and 498.09

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Solution

The fourth proportional to 576.51, 793.59 and 498.09 is: 685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.51 : 793.59 = 498.09 : x
  2. Step 2: Convert to fraction form
    576.51/793.59 = 498.09/x
  3. Step 3: Cross multiply
    576.51x = 793.59 × 498.09
  4. Step 4: Simplify right side
    576.51x = 395,279.24
  5. Step 5: Solve for x
    x = 395,279.24/576.51
  6. Step 6: Final answer
    x = 685.64

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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.