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Finding the Fourth Proportional to 431.91, 650.22 and 393.65

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Solution

The fourth proportional to 431.91, 650.22 and 393.65 is: 592.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.91 : 650.22 = 393.65 : x
  2. Step 2: Convert to fraction form
    431.91/650.22 = 393.65/x
  3. Step 3: Cross multiply
    431.91x = 650.22 × 393.65
  4. Step 4: Simplify right side
    431.91x = 255,955.85
  5. Step 5: Solve for x
    x = 255,955.85/431.91
  6. Step 6: Final answer
    x = 592.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.