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Finding the Fourth Proportional to 553.96, 830.64 and 322.90

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Solution

The fourth proportional to 553.96, 830.64 and 322.90 is: 484.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.96 : 830.64 = 322.90 : x
  2. Step 2: Convert to fraction form
    553.96/830.64 = 322.90/x
  3. Step 3: Cross multiply
    553.96x = 830.64 × 322.90
  4. Step 4: Simplify right side
    553.96x = 268,213.66
  5. Step 5: Solve for x
    x = 268,213.66/553.96
  6. Step 6: Final answer
    x = 484.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.