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Finding the Fourth Proportional to 475.24, 709.46 and 441.40

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Solution

The fourth proportional to 475.24, 709.46 and 441.40 is: 658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.24 : 709.46 = 441.40 : x
  2. Step 2: Convert to fraction form
    475.24/709.46 = 441.40/x
  3. Step 3: Cross multiply
    475.24x = 709.46 × 441.40
  4. Step 4: Simplify right side
    475.24x = 313,155.64
  5. Step 5: Solve for x
    x = 313,155.64/475.24
  6. Step 6: Final answer
    x = 658.94

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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.