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Finding the Fourth Proportional to 445.64, 665.13 and 393.75

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Solution

The fourth proportional to 445.64, 665.13 and 393.75 is: 587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 665.13 = 393.75 : x
  2. Step 2: Convert to fraction form
    445.64/665.13 = 393.75/x
  3. Step 3: Cross multiply
    445.64x = 665.13 × 393.75
  4. Step 4: Simplify right side
    445.64x = 261,894.94
  5. Step 5: Solve for x
    x = 261,894.94/445.64
  6. Step 6: Final answer
    x = 587.69

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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.