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Finding the Fourth Proportional to 1,322.26, 1,824.94 and 762.63

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Solution

The fourth proportional to 1,322.26, 1,824.94 and 762.63 is: 1,052.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.26 : 1,824.94 = 762.63 : x
  2. Step 2: Convert to fraction form
    1,322.26/1,824.94 = 762.63/x
  3. Step 3: Cross multiply
    1,322.26x = 1,824.94 × 762.63
  4. Step 4: Simplify right side
    1,322.26x = 1,391,748.10
  5. Step 5: Solve for x
    x = 1,391,748.10/1,322.26
  6. Step 6: Final answer
    x = 1,052.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.