Home / 1,214.50-1,820.20-659.18

Finding the Fourth Proportional to 1,214.50, 1,820.20 and 659.18

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Solution

The fourth proportional to 1,214.50, 1,820.20 and 659.18 is: 987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.50 : 1,820.20 = 659.18 : x
  2. Step 2: Convert to fraction form
    1,214.50/1,820.20 = 659.18/x
  3. Step 3: Cross multiply
    1,214.50x = 1,820.20 × 659.18
  4. Step 4: Simplify right side
    1,214.50x = 1,199,839.44
  5. Step 5: Solve for x
    x = 1,199,839.44/1,214.50
  6. Step 6: Final answer
    x = 987.93

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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.