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Finding the Fourth Proportional to 628.65, 867.96 and 463.05

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Solution

The fourth proportional to 628.65, 867.96 and 463.05 is: 639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.65 : 867.96 = 463.05 : x
  2. Step 2: Convert to fraction form
    628.65/867.96 = 463.05/x
  3. Step 3: Cross multiply
    628.65x = 867.96 × 463.05
  4. Step 4: Simplify right side
    628.65x = 401,908.88
  5. Step 5: Solve for x
    x = 401,908.88/628.65
  6. Step 6: Final answer
    x = 639.32

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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.