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Finding the Fourth Proportional to 431.98, 650.69 and 426.31

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Solution

The fourth proportional to 431.98, 650.69 and 426.31 is: 642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.98 : 650.69 = 426.31 : x
  2. Step 2: Convert to fraction form
    431.98/650.69 = 426.31/x
  3. Step 3: Cross multiply
    431.98x = 650.69 × 426.31
  4. Step 4: Simplify right side
    431.98x = 277,395.65
  5. Step 5: Solve for x
    x = 277,395.65/431.98
  6. Step 6: Final answer
    x = 642.15

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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.