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Finding the Fourth Proportional to 673.77, 1,010.19 and 343.90

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Solution

The fourth proportional to 673.77, 1,010.19 and 343.90 is: 515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.77 : 1,010.19 = 343.90 : x
  2. Step 2: Convert to fraction form
    673.77/1,010.19 = 343.90/x
  3. Step 3: Cross multiply
    673.77x = 1,010.19 × 343.90
  4. Step 4: Simplify right side
    673.77x = 347,404.34
  5. Step 5: Solve for x
    x = 347,404.34/673.77
  6. Step 6: Final answer
    x = 515.61

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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.