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Finding the Fourth Proportional to 521.74, 782.15 and 445.19

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Solution

The fourth proportional to 521.74, 782.15 and 445.19 is: 667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.74 : 782.15 = 445.19 : x
  2. Step 2: Convert to fraction form
    521.74/782.15 = 445.19/x
  3. Step 3: Cross multiply
    521.74x = 782.15 × 445.19
  4. Step 4: Simplify right side
    521.74x = 348,203.13
  5. Step 5: Solve for x
    x = 348,203.13/521.74
  6. Step 6: Final answer
    x = 667.39

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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.