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Finding the Fourth Proportional to 406.91, 609.30 and 373.07

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Solution

The fourth proportional to 406.91, 609.30 and 373.07 is: 558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.91 : 609.30 = 373.07 : x
  2. Step 2: Convert to fraction form
    406.91/609.30 = 373.07/x
  3. Step 3: Cross multiply
    406.91x = 609.30 × 373.07
  4. Step 4: Simplify right side
    406.91x = 227,313.07
  5. Step 5: Solve for x
    x = 227,313.07/406.91
  6. Step 6: Final answer
    x = 558.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.