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Finding the Fourth Proportional to 470.64, 645.26 and 463.47

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Solution

The fourth proportional to 470.64, 645.26 and 463.47 is: 635.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.64 : 645.26 = 463.47 : x
  2. Step 2: Convert to fraction form
    470.64/645.26 = 463.47/x
  3. Step 3: Cross multiply
    470.64x = 645.26 × 463.47
  4. Step 4: Simplify right side
    470.64x = 299,056.33
  5. Step 5: Solve for x
    x = 299,056.33/470.64
  6. Step 6: Final answer
    x = 635.42

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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.