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Finding the Fourth Proportional to 475.72, 711.90 and 384.52

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Solution

The fourth proportional to 475.72, 711.90 and 384.52 is: 575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 711.90 = 384.52 : x
  2. Step 2: Convert to fraction form
    475.72/711.90 = 384.52/x
  3. Step 3: Cross multiply
    475.72x = 711.90 × 384.52
  4. Step 4: Simplify right side
    475.72x = 273,739.79
  5. Step 5: Solve for x
    x = 273,739.79/475.72
  6. Step 6: Final answer
    x = 575.42

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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.