Home / 1,678.70-2,316.62-932.67

Finding the Fourth Proportional to 1,678.70, 2,316.62 and 932.67

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Solution

The fourth proportional to 1,678.70, 2,316.62 and 932.67 is: 1,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.70 : 2,316.62 = 932.67 : x
  2. Step 2: Convert to fraction form
    1,678.70/2,316.62 = 932.67/x
  3. Step 3: Cross multiply
    1,678.70x = 2,316.62 × 932.67
  4. Step 4: Simplify right side
    1,678.70x = 2,160,644.31
  5. Step 5: Solve for x
    x = 2,160,644.31/1,678.70
  6. Step 6: Final answer
    x = 1,287.09

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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.