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Finding the Fourth Proportional to 410.24, 561.82 and 404.84

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Solution

The fourth proportional to 410.24, 561.82 and 404.84 is: 554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 561.82 = 404.84 : x
  2. Step 2: Convert to fraction form
    410.24/561.82 = 404.84/x
  3. Step 3: Cross multiply
    410.24x = 561.82 × 404.84
  4. Step 4: Simplify right side
    410.24x = 227,447.21
  5. Step 5: Solve for x
    x = 227,447.21/410.24
  6. Step 6: Final answer
    x = 554.42

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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.