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Finding the Fourth Proportional to 1,780.93, 2,457.68 and 994.97

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Solution

The fourth proportional to 1,780.93, 2,457.68 and 994.97 is: 1,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.93 : 2,457.68 = 994.97 : x
  2. Step 2: Convert to fraction form
    1,780.93/2,457.68 = 994.97/x
  3. Step 3: Cross multiply
    1,780.93x = 2,457.68 × 994.97
  4. Step 4: Simplify right side
    1,780.93x = 2,445,317.87
  5. Step 5: Solve for x
    x = 2,445,317.87/1,780.93
  6. Step 6: Final answer
    x = 1,373.06

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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.