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Finding the Fourth Proportional to 1,709.31, 2,358.99 and 991.74

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Solution

The fourth proportional to 1,709.31, 2,358.99 and 991.74 is: 1,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.31 : 2,358.99 = 991.74 : x
  2. Step 2: Convert to fraction form
    1,709.31/2,358.99 = 991.74/x
  3. Step 3: Cross multiply
    1,709.31x = 2,358.99 × 991.74
  4. Step 4: Simplify right side
    1,709.31x = 2,339,504.74
  5. Step 5: Solve for x
    x = 2,339,504.74/1,709.31
  6. Step 6: Final answer
    x = 1,368.68

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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.