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Finding the Fourth Proportional to 556.90, 834.73 and 264.09

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Solution

The fourth proportional to 556.90, 834.73 and 264.09 is: 395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.90 : 834.73 = 264.09 : x
  2. Step 2: Convert to fraction form
    556.90/834.73 = 264.09/x
  3. Step 3: Cross multiply
    556.90x = 834.73 × 264.09
  4. Step 4: Simplify right side
    556.90x = 220,443.85
  5. Step 5: Solve for x
    x = 220,443.85/556.90
  6. Step 6: Final answer
    x = 395.84

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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.