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Finding the Fourth Proportional to 456.68, 626.19 and 445.74

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Solution

The fourth proportional to 456.68, 626.19 and 445.74 is: 611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 626.19 = 445.74 : x
  2. Step 2: Convert to fraction form
    456.68/626.19 = 445.74/x
  3. Step 3: Cross multiply
    456.68x = 626.19 × 445.74
  4. Step 4: Simplify right side
    456.68x = 279,117.93
  5. Step 5: Solve for x
    x = 279,117.93/456.68
  6. Step 6: Final answer
    x = 611.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.