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Finding the Fourth Proportional to 672.03, 1,007.24 and 347.22

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Solution

The fourth proportional to 672.03, 1,007.24 and 347.22 is: 520.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.03 : 1,007.24 = 347.22 : x
  2. Step 2: Convert to fraction form
    672.03/1,007.24 = 347.22/x
  3. Step 3: Cross multiply
    672.03x = 1,007.24 × 347.22
  4. Step 4: Simplify right side
    672.03x = 349,732.14
  5. Step 5: Solve for x
    x = 349,732.14/672.03
  6. Step 6: Final answer
    x = 520.41

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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.