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Finding the Fourth Proportional to 688, 949.52 and 412

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Solution

The fourth proportional to 688, 949.52 and 412 is: 568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    688 : 949.52 = 412 : x
  2. Step 2: Convert to fraction form
    688/949.52 = 412/x
  3. Step 3: Cross multiply
    688x = 949.52 × 412
  4. Step 4: Simplify right side
    688x = 391,202.24
  5. Step 5: Solve for x
    x = 391,202.24/688
  6. Step 6: Final answer
    x = 568.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.