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Finding the Fourth Proportional to 876.52, 1,209.75 and 522.46

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Solution

The fourth proportional to 876.52, 1,209.75 and 522.46 is: 721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.52 : 1,209.75 = 522.46 : x
  2. Step 2: Convert to fraction form
    876.52/1,209.75 = 522.46/x
  3. Step 3: Cross multiply
    876.52x = 1,209.75 × 522.46
  4. Step 4: Simplify right side
    876.52x = 632,045.99
  5. Step 5: Solve for x
    x = 632,045.99/876.52
  6. Step 6: Final answer
    x = 721.09

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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.