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Finding the Fourth Proportional to 476.56, 655.32 and 396.82

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Solution

The fourth proportional to 476.56, 655.32 and 396.82 is: 545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.56 : 655.32 = 396.82 : x
  2. Step 2: Convert to fraction form
    476.56/655.32 = 396.82/x
  3. Step 3: Cross multiply
    476.56x = 655.32 × 396.82
  4. Step 4: Simplify right side
    476.56x = 260,044.08
  5. Step 5: Solve for x
    x = 260,044.08/476.56
  6. Step 6: Final answer
    x = 545.67

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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.