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Finding the Fourth Proportional to 475.91, 656.54 and 289.41

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Solution

The fourth proportional to 475.91, 656.54 and 289.41 is: 399.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.91 : 656.54 = 289.41 : x
  2. Step 2: Convert to fraction form
    475.91/656.54 = 289.41/x
  3. Step 3: Cross multiply
    475.91x = 656.54 × 289.41
  4. Step 4: Simplify right side
    475.91x = 190,006.42
  5. Step 5: Solve for x
    x = 190,006.42/475.91
  6. Step 6: Final answer
    x = 399.25

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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.