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Finding the Fourth Proportional to 445.48, 613.70 and 426.04

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Solution

The fourth proportional to 445.48, 613.70 and 426.04 is: 586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.48 : 613.70 = 426.04 : x
  2. Step 2: Convert to fraction form
    445.48/613.70 = 426.04/x
  3. Step 3: Cross multiply
    445.48x = 613.70 × 426.04
  4. Step 4: Simplify right side
    445.48x = 261,460.75
  5. Step 5: Solve for x
    x = 261,460.75/445.48
  6. Step 6: Final answer
    x = 586.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.