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Finding the Fourth Proportional to 1,407.69, 2,110.05 and 676.80

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Solution

The fourth proportional to 1,407.69, 2,110.05 and 676.80 is: 1,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.69 : 2,110.05 = 676.80 : x
  2. Step 2: Convert to fraction form
    1,407.69/2,110.05 = 676.80/x
  3. Step 3: Cross multiply
    1,407.69x = 2,110.05 × 676.80
  4. Step 4: Simplify right side
    1,407.69x = 1,428,081.84
  5. Step 5: Solve for x
    x = 1,428,081.84/1,407.69
  6. Step 6: Final answer
    x = 1,014.49

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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.