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Finding the Fourth Proportional to 1,676.80, 2,314.01 and 930.80

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Solution

The fourth proportional to 1,676.80, 2,314.01 and 930.80 is: 1,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.80 : 2,314.01 = 930.80 : x
  2. Step 2: Convert to fraction form
    1,676.80/2,314.01 = 930.80/x
  3. Step 3: Cross multiply
    1,676.80x = 2,314.01 × 930.80
  4. Step 4: Simplify right side
    1,676.80x = 2,153,881.64
  5. Step 5: Solve for x
    x = 2,153,881.64/1,676.80
  6. Step 6: Final answer
    x = 1,284.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.