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Finding the Fourth Proportional to 1,213.76, 1,820.62 and 781.22

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Solution

The fourth proportional to 1,213.76, 1,820.62 and 781.22 is: 1,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.76 : 1,820.62 = 781.22 : x
  2. Step 2: Convert to fraction form
    1,213.76/1,820.62 = 781.22/x
  3. Step 3: Cross multiply
    1,213.76x = 1,820.62 × 781.22
  4. Step 4: Simplify right side
    1,213.76x = 1,422,304.76
  5. Step 5: Solve for x
    x = 1,422,304.76/1,213.76
  6. Step 6: Final answer
    x = 1,171.82

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1.5x scale

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.