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Finding the Fourth Proportional to 442.86, 613.73 and 434.22

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Solution

The fourth proportional to 442.86, 613.73 and 434.22 is: 601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.86 : 613.73 = 434.22 : x
  2. Step 2: Convert to fraction form
    442.86/613.73 = 434.22/x
  3. Step 3: Cross multiply
    442.86x = 613.73 × 434.22
  4. Step 4: Simplify right side
    442.86x = 266,491.67
  5. Step 5: Solve for x
    x = 266,491.67/442.86
  6. Step 6: Final answer
    x = 601.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.