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Finding the Fourth Proportional to 556.85, 834.54 and 409.91

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Solution

The fourth proportional to 556.85, 834.54 and 409.91 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.85 : 834.54 = 409.91 : x
  2. Step 2: Convert to fraction form
    556.85/834.54 = 409.91/x
  3. Step 3: Cross multiply
    556.85x = 834.54 × 409.91
  4. Step 4: Simplify right side
    556.85x = 342,086.29
  5. Step 5: Solve for x
    x = 342,086.29/556.85
  6. Step 6: Final answer
    x = 614.33

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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.