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Finding the Fourth Proportional to 1,780.88, 2,671.74 and 610.94

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Solution

The fourth proportional to 1,780.88, 2,671.74 and 610.94 is: 916.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.88 : 2,671.74 = 610.94 : x
  2. Step 2: Convert to fraction form
    1,780.88/2,671.74 = 610.94/x
  3. Step 3: Cross multiply
    1,780.88x = 2,671.74 × 610.94
  4. Step 4: Simplify right side
    1,780.88x = 1,632,272.84
  5. Step 5: Solve for x
    x = 1,632,272.84/1,780.88
  6. Step 6: Final answer
    x = 916.55

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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.