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Finding the Fourth Proportional to 431.49, 591.56 and 423.70

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Solution

The fourth proportional to 431.49, 591.56 and 423.70 is: 580.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.49 : 591.56 = 423.70 : x
  2. Step 2: Convert to fraction form
    431.49/591.56 = 423.70/x
  3. Step 3: Cross multiply
    431.49x = 591.56 × 423.70
  4. Step 4: Simplify right side
    431.49x = 250,643.97
  5. Step 5: Solve for x
    x = 250,643.97/431.49
  6. Step 6: Final answer
    x = 580.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.