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Finding the Fourth Proportional to 512.66, 705.78 and 429.64

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Solution

The fourth proportional to 512.66, 705.78 and 429.64 is: 591.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 705.78 = 429.64 : x
  2. Step 2: Convert to fraction form
    512.66/705.78 = 429.64/x
  3. Step 3: Cross multiply
    512.66x = 705.78 × 429.64
  4. Step 4: Simplify right side
    512.66x = 303,229.55
  5. Step 5: Solve for x
    x = 303,229.55/512.66
  6. Step 6: Final answer
    x = 591.48

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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.