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Finding the Fourth Proportional to 1,491.43, 2,057.58 and 861.84

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Solution

The fourth proportional to 1,491.43, 2,057.58 and 861.84 is: 1,189.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.43 : 2,057.58 = 861.84 : x
  2. Step 2: Convert to fraction form
    1,491.43/2,057.58 = 861.84/x
  3. Step 3: Cross multiply
    1,491.43x = 2,057.58 × 861.84
  4. Step 4: Simplify right side
    1,491.43x = 1,773,301.10
  5. Step 5: Solve for x
    x = 1,773,301.10/1,491.43
  6. Step 6: Final answer
    x = 1,189.00

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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.