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Finding the Fourth Proportional to 442.77, 660.69 and 396.65

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Solution

The fourth proportional to 442.77, 660.69 and 396.65 is: 591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 660.69 = 396.65 : x
  2. Step 2: Convert to fraction form
    442.77/660.69 = 396.65/x
  3. Step 3: Cross multiply
    442.77x = 660.69 × 396.65
  4. Step 4: Simplify right side
    442.77x = 262,060.62
  5. Step 5: Solve for x
    x = 262,060.62/442.77
  6. Step 6: Final answer
    x = 591.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.