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Finding the Fourth Proportional to 410.14, 562.19 and 409.42

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Solution

The fourth proportional to 410.14, 562.19 and 409.42 is: 561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 562.19 = 409.42 : x
  2. Step 2: Convert to fraction form
    410.14/562.19 = 409.42/x
  3. Step 3: Cross multiply
    410.14x = 562.19 × 409.42
  4. Step 4: Simplify right side
    410.14x = 230,171.83
  5. Step 5: Solve for x
    x = 230,171.83/410.14
  6. Step 6: Final answer
    x = 561.20

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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.