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Finding the Fourth Proportional to 431.42, 591.48 and 423.64

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Solution

The fourth proportional to 431.42, 591.48 and 423.64 is: 580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 591.48 = 423.64 : x
  2. Step 2: Convert to fraction form
    431.42/591.48 = 423.64/x
  3. Step 3: Cross multiply
    431.42x = 591.48 × 423.64
  4. Step 4: Simplify right side
    431.42x = 250,574.59
  5. Step 5: Solve for x
    x = 250,574.59/431.42
  6. Step 6: Final answer
    x = 580.81

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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.