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Finding the Fourth Proportional to 662.54, 913.78 and 463.30

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Solution

The fourth proportional to 662.54, 913.78 and 463.30 is: 638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.54 : 913.78 = 463.30 : x
  2. Step 2: Convert to fraction form
    662.54/913.78 = 463.30/x
  3. Step 3: Cross multiply
    662.54x = 913.78 × 463.30
  4. Step 4: Simplify right side
    662.54x = 423,356.56
  5. Step 5: Solve for x
    x = 423,356.56/662.54
  6. Step 6: Final answer
    x = 638.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.