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Finding the Fourth Proportional to 512.46, 768.36 and 435.45

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Solution

The fourth proportional to 512.46, 768.36 and 435.45 is: 652.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.46 : 768.36 = 435.45 : x
  2. Step 2: Convert to fraction form
    512.46/768.36 = 435.45/x
  3. Step 3: Cross multiply
    512.46x = 768.36 × 435.45
  4. Step 4: Simplify right side
    512.46x = 334,582.36
  5. Step 5: Solve for x
    x = 334,582.36/512.46
  6. Step 6: Final answer
    x = 652.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.