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Finding the Fourth Proportional to 471.05, 705.51 and 316.54

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Solution

The fourth proportional to 471.05, 705.51 and 316.54 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 705.51 = 316.54 : x
  2. Step 2: Convert to fraction form
    471.05/705.51 = 316.54/x
  3. Step 3: Cross multiply
    471.05x = 705.51 × 316.54
  4. Step 4: Simplify right side
    471.05x = 223,317.82
  5. Step 5: Solve for x
    x = 223,317.82/471.05
  6. Step 6: Final answer
    x = 474.09

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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.