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Finding the Fourth Proportional to 452.42, 679.76 and 287.96

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Solution

The fourth proportional to 452.42, 679.76 and 287.96 is: 432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 679.76 = 287.96 : x
  2. Step 2: Convert to fraction form
    452.42/679.76 = 287.96/x
  3. Step 3: Cross multiply
    452.42x = 679.76 × 287.96
  4. Step 4: Simplify right side
    452.42x = 195,740.78
  5. Step 5: Solve for x
    x = 195,740.78/452.42
  6. Step 6: Final answer
    x = 432.66

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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.