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Finding the Fourth Proportional to 673.26, 1,013.94 and 512.07

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Solution

The fourth proportional to 673.26, 1,013.94 and 512.07 is: 771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.26 : 1,013.94 = 512.07 : x
  2. Step 2: Convert to fraction form
    673.26/1,013.94 = 512.07/x
  3. Step 3: Cross multiply
    673.26x = 1,013.94 × 512.07
  4. Step 4: Simplify right side
    673.26x = 519,208.26
  5. Step 5: Solve for x
    x = 519,208.26/673.26
  6. Step 6: Final answer
    x = 771.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.