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Finding the Fourth Proportional to 828.89, 1,241.93 and 584.22

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Solution

The fourth proportional to 828.89, 1,241.93 and 584.22 is: 875.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.89 : 1,241.93 = 584.22 : x
  2. Step 2: Convert to fraction form
    828.89/1,241.93 = 584.22/x
  3. Step 3: Cross multiply
    828.89x = 1,241.93 × 584.22
  4. Step 4: Simplify right side
    828.89x = 725,561.81
  5. Step 5: Solve for x
    x = 725,561.81/828.89
  6. Step 6: Final answer
    x = 875.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.