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Finding the Fourth Proportional to 475.48, 656.20 and 289.02

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Solution

The fourth proportional to 475.48, 656.20 and 289.02 is: 398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.48 : 656.20 = 289.02 : x
  2. Step 2: Convert to fraction form
    475.48/656.20 = 289.02/x
  3. Step 3: Cross multiply
    475.48x = 656.20 × 289.02
  4. Step 4: Simplify right side
    475.48x = 189,654.92
  5. Step 5: Solve for x
    x = 189,654.92/475.48
  6. Step 6: Final answer
    x = 398.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.