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Finding the Fourth Proportional to 553.85, 830.51 and 322.81

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Solution

The fourth proportional to 553.85, 830.51 and 322.81 is: 484.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.85 : 830.51 = 322.81 : x
  2. Step 2: Convert to fraction form
    553.85/830.51 = 322.81/x
  3. Step 3: Cross multiply
    553.85x = 830.51 × 322.81
  4. Step 4: Simplify right side
    553.85x = 268,094.45
  5. Step 5: Solve for x
    x = 268,094.45/553.85
  6. Step 6: Final answer
    x = 484.06

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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.