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Finding the Fourth Proportional to 553.21, 761.97 and 412.88

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Solution

The fourth proportional to 553.21, 761.97 and 412.88 is: 568.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.21 : 761.97 = 412.88 : x
  2. Step 2: Convert to fraction form
    553.21/761.97 = 412.88/x
  3. Step 3: Cross multiply
    553.21x = 761.97 × 412.88
  4. Step 4: Simplify right side
    553.21x = 314,602.17
  5. Step 5: Solve for x
    x = 314,602.17/553.21
  6. Step 6: Final answer
    x = 568.68

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Why These Related Problems?

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