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Finding the Fourth Proportional to 512.34, 767.70 and 511.80

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Solution

The fourth proportional to 512.34, 767.70 and 511.80 is: 766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 767.70 = 511.80 : x
  2. Step 2: Convert to fraction form
    512.34/767.70 = 511.80/x
  3. Step 3: Cross multiply
    512.34x = 767.70 × 511.80
  4. Step 4: Simplify right side
    512.34x = 392,908.86
  5. Step 5: Solve for x
    x = 392,908.86/512.34
  6. Step 6: Final answer
    x = 766.89

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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.