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Finding the Fourth Proportional to 780.44, 1,077.10 and 496.83

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Solution

The fourth proportional to 780.44, 1,077.10 and 496.83 is: 685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.44 : 1,077.10 = 496.83 : x
  2. Step 2: Convert to fraction form
    780.44/1,077.10 = 496.83/x
  3. Step 3: Cross multiply
    780.44x = 1,077.10 × 496.83
  4. Step 4: Simplify right side
    780.44x = 535,138.39
  5. Step 5: Solve for x
    x = 535,138.39/780.44
  6. Step 6: Final answer
    x = 685.69

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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.