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Finding the Fourth Proportional to 676.08, 1,011.78 and 512.82

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Solution

The fourth proportional to 676.08, 1,011.78 and 512.82 is: 767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.08 : 1,011.78 = 512.82 : x
  2. Step 2: Convert to fraction form
    676.08/1,011.78 = 512.82/x
  3. Step 3: Cross multiply
    676.08x = 1,011.78 × 512.82
  4. Step 4: Simplify right side
    676.08x = 518,861.02
  5. Step 5: Solve for x
    x = 518,861.02/676.08
  6. Step 6: Final answer
    x = 767.46

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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.