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Finding the Fourth Proportional to 470.43, 645.37 and 457.63

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Solution

The fourth proportional to 470.43, 645.37 and 457.63 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.43 : 645.37 = 457.63 : x
  2. Step 2: Convert to fraction form
    470.43/645.37 = 457.63/x
  3. Step 3: Cross multiply
    470.43x = 645.37 × 457.63
  4. Step 4: Simplify right side
    470.43x = 295,337.92
  5. Step 5: Solve for x
    x = 295,337.92/470.43
  6. Step 6: Final answer
    x = 627.80

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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.