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Finding the Fourth Proportional to 799.52, 1,103.06 and 520.10

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Solution

The fourth proportional to 799.52, 1,103.06 and 520.10 is: 717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,103.06 = 520.10 : x
  2. Step 2: Convert to fraction form
    799.52/1,103.06 = 520.10/x
  3. Step 3: Cross multiply
    799.52x = 1,103.06 × 520.10
  4. Step 4: Simplify right side
    799.52x = 573,701.51
  5. Step 5: Solve for x
    x = 573,701.51/799.52
  6. Step 6: Final answer
    x = 717.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.