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Finding the Fourth Proportional to 407.72, 608.82 and 403.43

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Solution

The fourth proportional to 407.72, 608.82 and 403.43 is: 602.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.72 : 608.82 = 403.43 : x
  2. Step 2: Convert to fraction form
    407.72/608.82 = 403.43/x
  3. Step 3: Cross multiply
    407.72x = 608.82 × 403.43
  4. Step 4: Simplify right side
    407.72x = 245,613.21
  5. Step 5: Solve for x
    x = 245,613.21/407.72
  6. Step 6: Final answer
    x = 602.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.