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Finding the Fourth Proportional to 676.47, 1,013.64 and 513.66

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Solution

The fourth proportional to 676.47, 1,013.64 and 513.66 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 1,013.64 = 513.66 : x
  2. Step 2: Convert to fraction form
    676.47/1,013.64 = 513.66/x
  3. Step 3: Cross multiply
    676.47x = 1,013.64 × 513.66
  4. Step 4: Simplify right side
    676.47x = 520,666.32
  5. Step 5: Solve for x
    x = 520,666.32/676.47
  6. Step 6: Final answer
    x = 769.68

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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.