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Finding the Fourth Proportional to 686.23, 1,028.15 and 571.41

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Solution

The fourth proportional to 686.23, 1,028.15 and 571.41 is: 856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.23 : 1,028.15 = 571.41 : x
  2. Step 2: Convert to fraction form
    686.23/1,028.15 = 571.41/x
  3. Step 3: Cross multiply
    686.23x = 1,028.15 × 571.41
  4. Step 4: Simplify right side
    686.23x = 587,492.33
  5. Step 5: Solve for x
    x = 587,492.33/686.23
  6. Step 6: Final answer
    x = 856.12

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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.