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Finding the Fourth Proportional to 442.28, 613.27 and 427.65

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Solution

The fourth proportional to 442.28, 613.27 and 427.65 is: 592.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.28 : 613.27 = 427.65 : x
  2. Step 2: Convert to fraction form
    442.28/613.27 = 427.65/x
  3. Step 3: Cross multiply
    442.28x = 613.27 × 427.65
  4. Step 4: Simplify right side
    442.28x = 262,264.92
  5. Step 5: Solve for x
    x = 262,264.92/442.28
  6. Step 6: Final answer
    x = 592.98

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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.