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Finding the Fourth Proportional to 673.62, 1,011.39 and 512.34

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Solution

The fourth proportional to 673.62, 1,011.39 and 512.34 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.62 : 1,011.39 = 512.34 : x
  2. Step 2: Convert to fraction form
    673.62/1,011.39 = 512.34/x
  3. Step 3: Cross multiply
    673.62x = 1,011.39 × 512.34
  4. Step 4: Simplify right side
    673.62x = 518,175.55
  5. Step 5: Solve for x
    x = 518,175.55/673.62
  6. Step 6: Final answer
    x = 769.24

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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.