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Finding the Fourth Proportional to 673.50, 1,010.64 and 349.04

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Solution

The fourth proportional to 673.50, 1,010.64 and 349.04 is: 523.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.50 : 1,010.64 = 349.04 : x
  2. Step 2: Convert to fraction form
    673.50/1,010.64 = 349.04/x
  3. Step 3: Cross multiply
    673.50x = 1,010.64 × 349.04
  4. Step 4: Simplify right side
    673.50x = 352,753.79
  5. Step 5: Solve for x
    x = 352,753.79/673.50
  6. Step 6: Final answer
    x = 523.76

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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.