Home / 1,207.70-1,808.85-932.30

Finding the Fourth Proportional to 1,207.70, 1,808.85 and 932.30

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Solution

The fourth proportional to 1,207.70, 1,808.85 and 932.30 is: 1,396.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.70 : 1,808.85 = 932.30 : x
  2. Step 2: Convert to fraction form
    1,207.70/1,808.85 = 932.30/x
  3. Step 3: Cross multiply
    1,207.70x = 1,808.85 × 932.30
  4. Step 4: Simplify right side
    1,207.70x = 1,686,390.86
  5. Step 5: Solve for x
    x = 1,686,390.86/1,207.70
  6. Step 6: Final answer
    x = 1,396.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.