Home / 1,014.03-1,520.50-320.40

Finding the Fourth Proportional to 1,014.03, 1,520.50 and 320.40

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Solution

The fourth proportional to 1,014.03, 1,520.50 and 320.40 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.03 : 1,520.50 = 320.40 : x
  2. Step 2: Convert to fraction form
    1,014.03/1,520.50 = 320.40/x
  3. Step 3: Cross multiply
    1,014.03x = 1,520.50 × 320.40
  4. Step 4: Simplify right side
    1,014.03x = 487,168.60
  5. Step 5: Solve for x
    x = 487,168.60/1,014.03
  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.