Home / 1,204.90-1,808.70-932.20

Finding the Fourth Proportional to 1,204.90, 1,808.70 and 932.20

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Solution

The fourth proportional to 1,204.90, 1,808.70 and 932.20 is: 1,399.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.90 : 1,808.70 = 932.20 : x
  2. Step 2: Convert to fraction form
    1,204.90/1,808.70 = 932.20/x
  3. Step 3: Cross multiply
    1,204.90x = 1,808.70 × 932.20
  4. Step 4: Simplify right side
    1,204.90x = 1,686,070.14
  5. Step 5: Solve for x
    x = 1,686,070.14/1,204.90
  6. Step 6: Final answer
    x = 1,399.34

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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.