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Finding the Fourth Proportional to 613.51, 846.74 and 593.26

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Solution

The fourth proportional to 613.51, 846.74 and 593.26 is: 818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.51 : 846.74 = 593.26 : x
  2. Step 2: Convert to fraction form
    613.51/846.74 = 593.26/x
  3. Step 3: Cross multiply
    613.51x = 846.74 × 593.26
  4. Step 4: Simplify right side
    613.51x = 502,336.97
  5. Step 5: Solve for x
    x = 502,336.97/613.51
  6. Step 6: Final answer
    x = 818.79

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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.