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Finding the Fourth Proportional to 673.70, 929.61 and 425.09

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Solution

The fourth proportional to 673.70, 929.61 and 425.09 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.70 : 929.61 = 425.09 : x
  2. Step 2: Convert to fraction form
    673.70/929.61 = 425.09/x
  3. Step 3: Cross multiply
    673.70x = 929.61 × 425.09
  4. Step 4: Simplify right side
    673.70x = 395,163.27
  5. Step 5: Solve for x
    x = 395,163.27/673.70
  6. Step 6: Final answer
    x = 586.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.