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Finding the Fourth Proportional to 673.34, 929.07 and 404.11

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Solution

The fourth proportional to 673.34, 929.07 and 404.11 is: 557.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.34 : 929.07 = 404.11 : x
  2. Step 2: Convert to fraction form
    673.34/929.07 = 404.11/x
  3. Step 3: Cross multiply
    673.34x = 929.07 × 404.11
  4. Step 4: Simplify right side
    673.34x = 375,450.25
  5. Step 5: Solve for x
    x = 375,450.25/673.34
  6. Step 6: Final answer
    x = 557.60

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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.