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Finding the Fourth Proportional to 704.29, 1,052.83 and 519.97

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Solution

The fourth proportional to 704.29, 1,052.83 and 519.97 is: 777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.29 : 1,052.83 = 519.97 : x
  2. Step 2: Convert to fraction form
    704.29/1,052.83 = 519.97/x
  3. Step 3: Cross multiply
    704.29x = 1,052.83 × 519.97
  4. Step 4: Simplify right side
    704.29x = 547,432.80
  5. Step 5: Solve for x
    x = 547,432.80/704.29
  6. Step 6: Final answer
    x = 777.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.