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Finding the Fourth Proportional to 431.65, 650.51 and 388.37

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Solution

The fourth proportional to 431.65, 650.51 and 388.37 is: 585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.65 : 650.51 = 388.37 : x
  2. Step 2: Convert to fraction form
    431.65/650.51 = 388.37/x
  3. Step 3: Cross multiply
    431.65x = 650.51 × 388.37
  4. Step 4: Simplify right side
    431.65x = 252,636.79
  5. Step 5: Solve for x
    x = 252,636.79/431.65
  6. Step 6: Final answer
    x = 585.28

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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.