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Finding the Fourth Proportional to 673.85, 929.69 and 421.61

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Solution

The fourth proportional to 673.85, 929.69 and 421.61 is: 581.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.85 : 929.69 = 421.61 : x
  2. Step 2: Convert to fraction form
    673.85/929.69 = 421.61/x
  3. Step 3: Cross multiply
    673.85x = 929.69 × 421.61
  4. Step 4: Simplify right side
    673.85x = 391,964.49
  5. Step 5: Solve for x
    x = 391,964.49/673.85
  6. Step 6: Final answer
    x = 581.68

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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.