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Finding the Fourth Proportional to 417.76, 571.40 and 411.04

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Solution

The fourth proportional to 417.76, 571.40 and 411.04 is: 562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 571.40 = 411.04 : x
  2. Step 2: Convert to fraction form
    417.76/571.40 = 411.04/x
  3. Step 3: Cross multiply
    417.76x = 571.40 × 411.04
  4. Step 4: Simplify right side
    417.76x = 234,868.26
  5. Step 5: Solve for x
    x = 234,868.26/417.76
  6. Step 6: Final answer
    x = 562.21

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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.