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Finding the Fourth Proportional to 1,780.61, 2,457.09 and 994.50

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Solution

The fourth proportional to 1,780.61, 2,457.09 and 994.50 is: 1,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.61 : 2,457.09 = 994.50 : x
  2. Step 2: Convert to fraction form
    1,780.61/2,457.09 = 994.50/x
  3. Step 3: Cross multiply
    1,780.61x = 2,457.09 × 994.50
  4. Step 4: Simplify right side
    1,780.61x = 2,443,576.01
  5. Step 5: Solve for x
    x = 2,443,576.01/1,780.61
  6. Step 6: Final answer
    x = 1,372.33

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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.