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Finding the Fourth Proportional to 521.44, 780.54 and 443.68

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Solution

The fourth proportional to 521.44, 780.54 and 443.68 is: 664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.44 : 780.54 = 443.68 : x
  2. Step 2: Convert to fraction form
    521.44/780.54 = 443.68/x
  3. Step 3: Cross multiply
    521.44x = 780.54 × 443.68
  4. Step 4: Simplify right side
    521.44x = 346,309.99
  5. Step 5: Solve for x
    x = 346,309.99/521.44
  6. Step 6: Final answer
    x = 664.14

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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.