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Finding the Fourth Proportional to 688.56, 1,028.52 and 455.52

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Solution

The fourth proportional to 688.56, 1,028.52 and 455.52 is: 680.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 1,028.52 = 455.52 : x
  2. Step 2: Convert to fraction form
    688.56/1,028.52 = 455.52/x
  3. Step 3: Cross multiply
    688.56x = 1,028.52 × 455.52
  4. Step 4: Simplify right side
    688.56x = 468,511.43
  5. Step 5: Solve for x
    x = 468,511.43/688.56
  6. Step 6: Final answer
    x = 680.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.