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Finding the Fourth Proportional to 452.42, 682.40 and 449.72

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Solution

The fourth proportional to 452.42, 682.40 and 449.72 is: 678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 682.40 = 449.72 : x
  2. Step 2: Convert to fraction form
    452.42/682.40 = 449.72/x
  3. Step 3: Cross multiply
    452.42x = 682.40 × 449.72
  4. Step 4: Simplify right side
    452.42x = 306,888.93
  5. Step 5: Solve for x
    x = 306,888.93/452.42
  6. Step 6: Final answer
    x = 678.33

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1.5x scale

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.