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Finding the Fourth Proportional to 1,780.59, 2,671.28 and 685.47

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Solution

The fourth proportional to 1,780.59, 2,671.28 and 685.47 is: 1,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.59 : 2,671.28 = 685.47 : x
  2. Step 2: Convert to fraction form
    1,780.59/2,671.28 = 685.47/x
  3. Step 3: Cross multiply
    1,780.59x = 2,671.28 × 685.47
  4. Step 4: Simplify right side
    1,780.59x = 1,831,078.87
  5. Step 5: Solve for x
    x = 1,831,078.87/1,780.59
  6. Step 6: Final answer
    x = 1,028.36

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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.