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Finding the Fourth Proportional to 1,675.48, 2,512.94 and 521.14

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Solution

The fourth proportional to 1,675.48, 2,512.94 and 521.14 is: 781.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.48 : 2,512.94 = 521.14 : x
  2. Step 2: Convert to fraction form
    1,675.48/2,512.94 = 521.14/x
  3. Step 3: Cross multiply
    1,675.48x = 2,512.94 × 521.14
  4. Step 4: Simplify right side
    1,675.48x = 1,309,593.55
  5. Step 5: Solve for x
    x = 1,309,593.55/1,675.48
  6. Step 6: Final answer
    x = 781.62

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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.