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Finding the Fourth Proportional to 452.42, 681.32 and 401.54

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Solution

The fourth proportional to 452.42, 681.32 and 401.54 is: 604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 681.32 = 401.54 : x
  2. Step 2: Convert to fraction form
    452.42/681.32 = 401.54/x
  3. Step 3: Cross multiply
    452.42x = 681.32 × 401.54
  4. Step 4: Simplify right side
    452.42x = 273,577.23
  5. Step 5: Solve for x
    x = 273,577.23/452.42
  6. Step 6: Final answer
    x = 604.70

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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.