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Finding the Fourth Proportional to 876.05, 1,209.33 and 522.09

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Solution

The fourth proportional to 876.05, 1,209.33 and 522.09 is: 720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.05 : 1,209.33 = 522.09 : x
  2. Step 2: Convert to fraction form
    876.05/1,209.33 = 522.09/x
  3. Step 3: Cross multiply
    876.05x = 1,209.33 × 522.09
  4. Step 4: Simplify right side
    876.05x = 631,379.10
  5. Step 5: Solve for x
    x = 631,379.10/876.05
  6. Step 6: Final answer
    x = 720.72

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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.