Home / 1,142.04-1,712.79-320.34

Finding the Fourth Proportional to 1,142.04, 1,712.79 and 320.34

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Solution

The fourth proportional to 1,142.04, 1,712.79 and 320.34 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,712.79 = 320.34 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,712.79 = 320.34/x
  3. Step 3: Cross multiply
    1,142.04x = 1,712.79 × 320.34
  4. Step 4: Simplify right side
    1,142.04x = 548,675.15
  5. Step 5: Solve for x
    x = 548,675.15/1,142.04
  6. Step 6: Final answer
    x = 480.43

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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.