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Finding the Fourth Proportional to 553.44, 763.12 and 354.01

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Solution

The fourth proportional to 553.44, 763.12 and 354.01 is: 488.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.44 : 763.12 = 354.01 : x
  2. Step 2: Convert to fraction form
    553.44/763.12 = 354.01/x
  3. Step 3: Cross multiply
    553.44x = 763.12 × 354.01
  4. Step 4: Simplify right side
    553.44x = 270,146.53
  5. Step 5: Solve for x
    x = 270,146.53/553.44
  6. Step 6: Final answer
    x = 488.12

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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.