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Finding the Fourth Proportional to 1,213.45, 1,820.71 and 636.19

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Solution

The fourth proportional to 1,213.45, 1,820.71 and 636.19 is: 954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.45 : 1,820.71 = 636.19 : x
  2. Step 2: Convert to fraction form
    1,213.45/1,820.71 = 636.19/x
  3. Step 3: Cross multiply
    1,213.45x = 1,820.71 × 636.19
  4. Step 4: Simplify right side
    1,213.45x = 1,158,313.74
  5. Step 5: Solve for x
    x = 1,158,313.74/1,213.45
  6. Step 6: Final answer
    x = 954.56

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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.