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Finding the Fourth Proportional to 828.79, 1,241.65 and 520.45

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Solution

The fourth proportional to 828.79, 1,241.65 and 520.45 is: 779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.79 : 1,241.65 = 520.45 : x
  2. Step 2: Convert to fraction form
    828.79/1,241.65 = 520.45/x
  3. Step 3: Cross multiply
    828.79x = 1,241.65 × 520.45
  4. Step 4: Simplify right side
    828.79x = 646,216.74
  5. Step 5: Solve for x
    x = 646,216.74/828.79
  6. Step 6: Final answer
    x = 779.71

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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.