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Finding the Fourth Proportional to 613.58, 843.21 and 585.02

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Solution

The fourth proportional to 613.58, 843.21 and 585.02 is: 803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.58 : 843.21 = 585.02 : x
  2. Step 2: Convert to fraction form
    613.58/843.21 = 585.02/x
  3. Step 3: Cross multiply
    613.58x = 843.21 × 585.02
  4. Step 4: Simplify right side
    613.58x = 493,296.82
  5. Step 5: Solve for x
    x = 493,296.82/613.58
  6. Step 6: Final answer
    x = 803.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.