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Finding the Fourth Proportional to 464.92, 687.88 and 463.48

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Solution

The fourth proportional to 464.92, 687.88 and 463.48 is: 685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.92 : 687.88 = 463.48 : x
  2. Step 2: Convert to fraction form
    464.92/687.88 = 463.48/x
  3. Step 3: Cross multiply
    464.92x = 687.88 × 463.48
  4. Step 4: Simplify right side
    464.92x = 318,818.62
  5. Step 5: Solve for x
    x = 318,818.62/464.92
  6. Step 6: Final answer
    x = 685.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.