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Finding the Fourth Proportional to 431.68, 587.75 and 430.31

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Solution

The fourth proportional to 431.68, 587.75 and 430.31 is: 585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.68 : 587.75 = 430.31 : x
  2. Step 2: Convert to fraction form
    431.68/587.75 = 430.31/x
  3. Step 3: Cross multiply
    431.68x = 587.75 × 430.31
  4. Step 4: Simplify right side
    431.68x = 252,914.70
  5. Step 5: Solve for x
    x = 252,914.70/431.68
  6. Step 6: Final answer
    x = 585.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.