Home / 1,678.31-2,315.97-932.27

Finding the Fourth Proportional to 1,678.31, 2,315.97 and 932.27

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Solution

The fourth proportional to 1,678.31, 2,315.97 and 932.27 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.31 : 2,315.97 = 932.27 : x
  2. Step 2: Convert to fraction form
    1,678.31/2,315.97 = 932.27/x
  3. Step 3: Cross multiply
    1,678.31x = 2,315.97 × 932.27
  4. Step 4: Simplify right side
    1,678.31x = 2,159,115.14
  5. Step 5: Solve for x
    x = 2,159,115.14/1,678.31
  6. Step 6: Final answer
    x = 1,286.49

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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.