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Finding the Fourth Proportional to 478.43, 656.73 and 441.51

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Solution

The fourth proportional to 478.43, 656.73 and 441.51 is: 606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.43 : 656.73 = 441.51 : x
  2. Step 2: Convert to fraction form
    478.43/656.73 = 441.51/x
  3. Step 3: Cross multiply
    478.43x = 656.73 × 441.51
  4. Step 4: Simplify right side
    478.43x = 289,952.86
  5. Step 5: Solve for x
    x = 289,952.86/478.43
  6. Step 6: Final answer
    x = 606.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.