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Finding the Fourth Proportional to 512.37, 705.84 and 423.48

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Solution

The fourth proportional to 512.37, 705.84 and 423.48 is: 583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 705.84 = 423.48 : x
  2. Step 2: Convert to fraction form
    512.37/705.84 = 423.48/x
  3. Step 3: Cross multiply
    512.37x = 705.84 × 423.48
  4. Step 4: Simplify right side
    512.37x = 298,909.12
  5. Step 5: Solve for x
    x = 298,909.12/512.37
  6. Step 6: Final answer
    x = 583.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.