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Finding the Fourth Proportional to 470.89, 645.60 and 463.72

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Solution

The fourth proportional to 470.89, 645.60 and 463.72 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.89 : 645.60 = 463.72 : x
  2. Step 2: Convert to fraction form
    470.89/645.60 = 463.72/x
  3. Step 3: Cross multiply
    470.89x = 645.60 × 463.72
  4. Step 4: Simplify right side
    470.89x = 299,377.63
  5. Step 5: Solve for x
    x = 299,377.63/470.89
  6. Step 6: Final answer
    x = 635.77

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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.