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Finding the Fourth Proportional to 784.07, 1,080.78 and 596.96

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Solution

The fourth proportional to 784.07, 1,080.78 and 596.96 is: 822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.07 : 1,080.78 = 596.96 : x
  2. Step 2: Convert to fraction form
    784.07/1,080.78 = 596.96/x
  3. Step 3: Cross multiply
    784.07x = 1,080.78 × 596.96
  4. Step 4: Simplify right side
    784.07x = 645,182.43
  5. Step 5: Solve for x
    x = 645,182.43/784.07
  6. Step 6: Final answer
    x = 822.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.