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Finding the Fourth Proportional to 1,285.06, 1,780.71 and 1,207.03

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Solution

The fourth proportional to 1,285.06, 1,780.71 and 1,207.03 is: 1,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.06 : 1,780.71 = 1,207.03 : x
  2. Step 2: Convert to fraction form
    1,285.06/1,780.71 = 1,207.03/x
  3. Step 3: Cross multiply
    1,285.06x = 1,780.71 × 1,207.03
  4. Step 4: Simplify right side
    1,285.06x = 2,149,355.45
  5. Step 5: Solve for x
    x = 2,149,355.45/1,285.06
  6. Step 6: Final answer
    x = 1,672.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.