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Finding the Fourth Proportional to 673.20, 928.73 and 411.06

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Solution

The fourth proportional to 673.20, 928.73 and 411.06 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.20 : 928.73 = 411.06 : x
  2. Step 2: Convert to fraction form
    673.20/928.73 = 411.06/x
  3. Step 3: Cross multiply
    673.20x = 928.73 × 411.06
  4. Step 4: Simplify right side
    673.20x = 381,763.75
  5. Step 5: Solve for x
    x = 381,763.75/673.20
  6. Step 6: Final answer
    x = 567.09

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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.