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Finding the Fourth Proportional to 475.44, 709.93 and 406.86

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Solution

The fourth proportional to 475.44, 709.93 and 406.86 is: 607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.44 : 709.93 = 406.86 : x
  2. Step 2: Convert to fraction form
    475.44/709.93 = 406.86/x
  3. Step 3: Cross multiply
    475.44x = 709.93 × 406.86
  4. Step 4: Simplify right side
    475.44x = 288,842.12
  5. Step 5: Solve for x
    x = 288,842.12/475.44
  6. Step 6: Final answer
    x = 607.53

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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.