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Finding the Fourth Proportional to 553.35, 763.47 and 396.03

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Solution

The fourth proportional to 553.35, 763.47 and 396.03 is: 546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.35 : 763.47 = 396.03 : x
  2. Step 2: Convert to fraction form
    553.35/763.47 = 396.03/x
  3. Step 3: Cross multiply
    553.35x = 763.47 × 396.03
  4. Step 4: Simplify right side
    553.35x = 302,357.02
  5. Step 5: Solve for x
    x = 302,357.02/553.35
  6. Step 6: Final answer
    x = 546.41

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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.