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Finding the Fourth Proportional to 553.74, 764.13 and 320.91

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Solution

The fourth proportional to 553.74, 764.13 and 320.91 is: 442.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.74 : 764.13 = 320.91 : x
  2. Step 2: Convert to fraction form
    553.74/764.13 = 320.91/x
  3. Step 3: Cross multiply
    553.74x = 764.13 × 320.91
  4. Step 4: Simplify right side
    553.74x = 245,216.96
  5. Step 5: Solve for x
    x = 245,216.96/553.74
  6. Step 6: Final answer
    x = 442.84

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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.