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Finding the Fourth Proportional to 1,676.93, 2,314.30 and 930.96

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Solution

The fourth proportional to 1,676.93, 2,314.30 and 930.96 is: 1,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.93 : 2,314.30 = 930.96 : x
  2. Step 2: Convert to fraction form
    1,676.93/2,314.30 = 930.96/x
  3. Step 3: Cross multiply
    1,676.93x = 2,314.30 × 930.96
  4. Step 4: Simplify right side
    1,676.93x = 2,154,520.73
  5. Step 5: Solve for x
    x = 2,154,520.73/1,676.93
  6. Step 6: Final answer
    x = 1,284.80

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1.5x scale

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.