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Finding the Fourth Proportional to 475.87, 656.75 and 289.41

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Solution

The fourth proportional to 475.87, 656.75 and 289.41 is: 399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.87 : 656.75 = 289.41 : x
  2. Step 2: Convert to fraction form
    475.87/656.75 = 289.41/x
  3. Step 3: Cross multiply
    475.87x = 656.75 × 289.41
  4. Step 4: Simplify right side
    475.87x = 190,070.02
  5. Step 5: Solve for x
    x = 190,070.02/475.87
  6. Step 6: Final answer
    x = 399.42

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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.