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Finding the Fourth Proportional to 475.92, 711 and 473.22

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Solution

The fourth proportional to 475.92, 711 and 473.22 is: 706.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.92 : 711 = 473.22 : x
  2. Step 2: Convert to fraction form
    475.92/711 = 473.22/x
  3. Step 3: Cross multiply
    475.92x = 711 × 473.22
  4. Step 4: Simplify right side
    475.92x = 336,459.42
  5. Step 5: Solve for x
    x = 336,459.42/475.92
  6. Step 6: Final answer
    x = 706.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.