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Finding the Fourth Proportional to 1,780.57, 2,671.22 and 610.66

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Solution

The fourth proportional to 1,780.57, 2,671.22 and 610.66 is: 916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.57 : 2,671.22 = 610.66 : x
  2. Step 2: Convert to fraction form
    1,780.57/2,671.22 = 610.66/x
  3. Step 3: Cross multiply
    1,780.57x = 2,671.22 × 610.66
  4. Step 4: Simplify right side
    1,780.57x = 1,631,207.21
  5. Step 5: Solve for x
    x = 1,631,207.21/1,780.57
  6. Step 6: Final answer
    x = 916.12

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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.