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Finding the Fourth Proportional to 673.04, 1,010.64 and 429.68

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Solution

The fourth proportional to 673.04, 1,010.64 and 429.68 is: 645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.04 : 1,010.64 = 429.68 : x
  2. Step 2: Convert to fraction form
    673.04/1,010.64 = 429.68/x
  3. Step 3: Cross multiply
    673.04x = 1,010.64 × 429.68
  4. Step 4: Simplify right side
    673.04x = 434,251.80
  5. Step 5: Solve for x
    x = 434,251.80/673.04
  6. Step 6: Final answer
    x = 645.21

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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.