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Finding the Fourth Proportional to 409.07, 562.87 and 399.35

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Solution

The fourth proportional to 409.07, 562.87 and 399.35 is: 549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 562.87 = 399.35 : x
  2. Step 2: Convert to fraction form
    409.07/562.87 = 399.35/x
  3. Step 3: Cross multiply
    409.07x = 562.87 × 399.35
  4. Step 4: Simplify right side
    409.07x = 224,782.13
  5. Step 5: Solve for x
    x = 224,782.13/409.07
  6. Step 6: Final answer
    x = 549.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.