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Finding the Fourth Proportional to 621.12, 856.32 and 480.96

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Solution

The fourth proportional to 621.12, 856.32 and 480.96 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.12 : 856.32 = 480.96 : x
  2. Step 2: Convert to fraction form
    621.12/856.32 = 480.96/x
  3. Step 3: Cross multiply
    621.12x = 856.32 × 480.96
  4. Step 4: Simplify right side
    621.12x = 411,855.67
  5. Step 5: Solve for x
    x = 411,855.67/621.12
  6. Step 6: Final answer
    x = 663.09

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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.