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Finding the Fourth Proportional to 556.45, 834.33 and 488.11

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Solution

The fourth proportional to 556.45, 834.33 and 488.11 is: 731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.45 : 834.33 = 488.11 : x
  2. Step 2: Convert to fraction form
    556.45/834.33 = 488.11/x
  3. Step 3: Cross multiply
    556.45x = 834.33 × 488.11
  4. Step 4: Simplify right side
    556.45x = 407,244.82
  5. Step 5: Solve for x
    x = 407,244.82/556.45
  6. Step 6: Final answer
    x = 731.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.