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Finding the Fourth Proportional to 828.61, 1,241.75 and 654.51

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Solution

The fourth proportional to 828.61, 1,241.75 and 654.51 is: 980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.61 : 1,241.75 = 654.51 : x
  2. Step 2: Convert to fraction form
    828.61/1,241.75 = 654.51/x
  3. Step 3: Cross multiply
    828.61x = 1,241.75 × 654.51
  4. Step 4: Simplify right side
    828.61x = 812,737.79
  5. Step 5: Solve for x
    x = 812,737.79/828.61
  6. Step 6: Final answer
    x = 980.84

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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.