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Finding the Fourth Proportional to 686.24, 1,028.12 and 356.76

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Solution

The fourth proportional to 686.24, 1,028.12 and 356.76 is: 534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.24 : 1,028.12 = 356.76 : x
  2. Step 2: Convert to fraction form
    686.24/1,028.12 = 356.76/x
  3. Step 3: Cross multiply
    686.24x = 1,028.12 × 356.76
  4. Step 4: Simplify right side
    686.24x = 366,792.09
  5. Step 5: Solve for x
    x = 366,792.09/686.24
  6. Step 6: Final answer
    x = 534.50

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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.