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Finding the Fourth Proportional to 475.56, 712.61 and 320.91

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Solution

The fourth proportional to 475.56, 712.61 and 320.91 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 712.61 = 320.91 : x
  2. Step 2: Convert to fraction form
    475.56/712.61 = 320.91/x
  3. Step 3: Cross multiply
    475.56x = 712.61 × 320.91
  4. Step 4: Simplify right side
    475.56x = 228,682.07
  5. Step 5: Solve for x
    x = 228,682.07/475.56
  6. Step 6: Final answer
    x = 480.87

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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.