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Finding the Fourth Proportional to 1,069.64, 1,602.11 and 520.65

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Solution

The fourth proportional to 1,069.64, 1,602.11 and 520.65 is: 779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.64 : 1,602.11 = 520.65 : x
  2. Step 2: Convert to fraction form
    1,069.64/1,602.11 = 520.65/x
  3. Step 3: Cross multiply
    1,069.64x = 1,602.11 × 520.65
  4. Step 4: Simplify right side
    1,069.64x = 834,135.97
  5. Step 5: Solve for x
    x = 834,135.97/1,069.64
  6. Step 6: Final answer
    x = 779.83

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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.