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Finding the Fourth Proportional to 553.90, 764.21 and 357.06

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Solution

The fourth proportional to 553.90, 764.21 and 357.06 is: 492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.90 : 764.21 = 357.06 : x
  2. Step 2: Convert to fraction form
    553.90/764.21 = 357.06/x
  3. Step 3: Cross multiply
    553.90x = 764.21 × 357.06
  4. Step 4: Simplify right side
    553.90x = 272,868.82
  5. Step 5: Solve for x
    x = 272,868.82/553.90
  6. Step 6: Final answer
    x = 492.63

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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.