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Finding the Fourth Proportional to 672.72, 1,007.26 and 347.46

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Solution

The fourth proportional to 672.72, 1,007.26 and 347.46 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.72 : 1,007.26 = 347.46 : x
  2. Step 2: Convert to fraction form
    672.72/1,007.26 = 347.46/x
  3. Step 3: Cross multiply
    672.72x = 1,007.26 × 347.46
  4. Step 4: Simplify right side
    672.72x = 349,982.56
  5. Step 5: Solve for x
    x = 349,982.56/672.72
  6. Step 6: Final answer
    x = 520.25

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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.