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Finding the Fourth Proportional to 686.09, 1,028.12 and 360.47

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Solution

The fourth proportional to 686.09, 1,028.12 and 360.47 is: 540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.09 : 1,028.12 = 360.47 : x
  2. Step 2: Convert to fraction form
    686.09/1,028.12 = 360.47/x
  3. Step 3: Cross multiply
    686.09x = 1,028.12 × 360.47
  4. Step 4: Simplify right side
    686.09x = 370,599.47
  5. Step 5: Solve for x
    x = 370,599.47/686.09
  6. Step 6: Final answer
    x = 540.17

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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.