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Finding the Fourth Proportional to 528.68, 796.20 and 471.42

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Solution

The fourth proportional to 528.68, 796.20 and 471.42 is: 709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.68 : 796.20 = 471.42 : x
  2. Step 2: Convert to fraction form
    528.68/796.20 = 471.42/x
  3. Step 3: Cross multiply
    528.68x = 796.20 × 471.42
  4. Step 4: Simplify right side
    528.68x = 375,346.81
  5. Step 5: Solve for x
    x = 375,346.81/528.68
  6. Step 6: Final answer
    x = 709.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.