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Finding the Fourth Proportional to 512.31, 771.93 and 423.01

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Solution

The fourth proportional to 512.31, 771.93 and 423.01 is: 637.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 771.93 = 423.01 : x
  2. Step 2: Convert to fraction form
    512.31/771.93 = 423.01/x
  3. Step 3: Cross multiply
    512.31x = 771.93 × 423.01
  4. Step 4: Simplify right side
    512.31x = 326,533.49
  5. Step 5: Solve for x
    x = 326,533.49/512.31
  6. Step 6: Final answer
    x = 637.37

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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.