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Finding the Fourth Proportional to 417.06, 571.68 and 411.42

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Solution

The fourth proportional to 417.06, 571.68 and 411.42 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.06 : 571.68 = 411.42 : x
  2. Step 2: Convert to fraction form
    417.06/571.68 = 411.42/x
  3. Step 3: Cross multiply
    417.06x = 571.68 × 411.42
  4. Step 4: Simplify right side
    417.06x = 235,200.59
  5. Step 5: Solve for x
    x = 235,200.59/417.06
  6. Step 6: Final answer
    x = 563.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.