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Finding the Fourth Proportional to 879.44, 1,315.22 and 782.51

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Solution

The fourth proportional to 879.44, 1,315.22 and 782.51 is: 1,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.44 : 1,315.22 = 782.51 : x
  2. Step 2: Convert to fraction form
    879.44/1,315.22 = 782.51/x
  3. Step 3: Cross multiply
    879.44x = 1,315.22 × 782.51
  4. Step 4: Simplify right side
    879.44x = 1,029,162.31
  5. Step 5: Solve for x
    x = 1,029,162.31/879.44
  6. Step 6: Final answer
    x = 1,170.25

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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.