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Finding the Fourth Proportional to 410.94, 561.33 and 408.24

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Solution

The fourth proportional to 410.94, 561.33 and 408.24 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.94 : 561.33 = 408.24 : x
  2. Step 2: Convert to fraction form
    410.94/561.33 = 408.24/x
  3. Step 3: Cross multiply
    410.94x = 561.33 × 408.24
  4. Step 4: Simplify right side
    410.94x = 229,157.36
  5. Step 5: Solve for x
    x = 229,157.36/410.94
  6. Step 6: Final answer
    x = 557.64

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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.