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Finding the Fourth Proportional to 409.79, 562.17 and 399.03

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Solution

The fourth proportional to 409.79, 562.17 and 399.03 is: 547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.79 : 562.17 = 399.03 : x
  2. Step 2: Convert to fraction form
    409.79/562.17 = 399.03/x
  3. Step 3: Cross multiply
    409.79x = 562.17 × 399.03
  4. Step 4: Simplify right side
    409.79x = 224,322.08
  5. Step 5: Solve for x
    x = 224,322.08/409.79
  6. Step 6: Final answer
    x = 547.40

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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.