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Finding the Fourth Proportional to 828.83, 1,240.61 and 521.03

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Solution

The fourth proportional to 828.83, 1,240.61 and 521.03 is: 779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.83 : 1,240.61 = 521.03 : x
  2. Step 2: Convert to fraction form
    828.83/1,240.61 = 521.03/x
  3. Step 3: Cross multiply
    828.83x = 1,240.61 × 521.03
  4. Step 4: Simplify right side
    828.83x = 646,395.03
  5. Step 5: Solve for x
    x = 646,395.03/828.83
  6. Step 6: Final answer
    x = 779.89

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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.