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Finding the Fourth Proportional to 693.21, 1,043.31 and 520.79

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Solution

The fourth proportional to 693.21, 1,043.31 and 520.79 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.21 : 1,043.31 = 520.79 : x
  2. Step 2: Convert to fraction form
    693.21/1,043.31 = 520.79/x
  3. Step 3: Cross multiply
    693.21x = 1,043.31 × 520.79
  4. Step 4: Simplify right side
    693.21x = 543,340.20
  5. Step 5: Solve for x
    x = 543,340.20/693.21
  6. Step 6: Final answer
    x = 783.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.