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Finding the Fourth Proportional to 879.00, 1,314.62 and 782.18

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Solution

The fourth proportional to 879.00, 1,314.62 and 782.18 is: 1,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.00 : 1,314.62 = 782.18 : x
  2. Step 2: Convert to fraction form
    879.00/1,314.62 = 782.18/x
  3. Step 3: Cross multiply
    879.00x = 1,314.62 × 782.18
  4. Step 4: Simplify right side
    879.00x = 1,028,272.75
  5. Step 5: Solve for x
    x = 1,028,272.75/879.00
  6. Step 6: Final answer
    x = 1,169.82

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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.