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Finding the Fourth Proportional to 738.50, 1,107.63 and 521.42

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Solution

The fourth proportional to 738.50, 1,107.63 and 521.42 is: 782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.50 : 1,107.63 = 521.42 : x
  2. Step 2: Convert to fraction form
    738.50/1,107.63 = 521.42/x
  3. Step 3: Cross multiply
    738.50x = 1,107.63 × 521.42
  4. Step 4: Simplify right side
    738.50x = 577,540.43
  5. Step 5: Solve for x
    x = 577,540.43/738.50
  6. Step 6: Final answer
    x = 782.05

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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.