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Finding the Fourth Proportional to 872.65, 1,204.07 and 518.51

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Solution

The fourth proportional to 872.65, 1,204.07 and 518.51 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.65 : 1,204.07 = 518.51 : x
  2. Step 2: Convert to fraction form
    872.65/1,204.07 = 518.51/x
  3. Step 3: Cross multiply
    872.65x = 1,204.07 × 518.51
  4. Step 4: Simplify right side
    872.65x = 624,322.34
  5. Step 5: Solve for x
    x = 624,322.34/872.65
  6. Step 6: Final answer
    x = 715.43

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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.