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Finding the Fourth Proportional to 1,015.07, 1,520.23 and 782.11

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Solution

The fourth proportional to 1,015.07, 1,520.23 and 782.11 is: 1,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.07 : 1,520.23 = 782.11 : x
  2. Step 2: Convert to fraction form
    1,015.07/1,520.23 = 782.11/x
  3. Step 3: Cross multiply
    1,015.07x = 1,520.23 × 782.11
  4. Step 4: Simplify right side
    1,015.07x = 1,188,987.09
  5. Step 5: Solve for x
    x = 1,188,987.09/1,015.07
  6. Step 6: Final answer
    x = 1,171.34

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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.