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Finding the Fourth Proportional to 631.67, 872.10 and 484.02

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Solution

The fourth proportional to 631.67, 872.10 and 484.02 is: 668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.67 : 872.10 = 484.02 : x
  2. Step 2: Convert to fraction form
    631.67/872.10 = 484.02/x
  3. Step 3: Cross multiply
    631.67x = 872.10 × 484.02
  4. Step 4: Simplify right side
    631.67x = 422,113.84
  5. Step 5: Solve for x
    x = 422,113.84/631.67
  6. Step 6: Final answer
    x = 668.26

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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.