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Finding the Fourth Proportional to 404.76, 609.78 and 399.72

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Solution

The fourth proportional to 404.76, 609.78 and 399.72 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 609.78 = 399.72 : x
  2. Step 2: Convert to fraction form
    404.76/609.78 = 399.72/x
  3. Step 3: Cross multiply
    404.76x = 609.78 × 399.72
  4. Step 4: Simplify right side
    404.76x = 243,741.26
  5. Step 5: Solve for x
    x = 243,741.26/404.76
  6. Step 6: Final answer
    x = 602.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.