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Finding the Fourth Proportional to 876.27, 1,209 and 522.15

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Solution

The fourth proportional to 876.27, 1,209 and 522.15 is: 720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.27 : 1,209 = 522.15 : x
  2. Step 2: Convert to fraction form
    876.27/1,209 = 522.15/x
  3. Step 3: Cross multiply
    876.27x = 1,209 × 522.15
  4. Step 4: Simplify right side
    876.27x = 631,279.35
  5. Step 5: Solve for x
    x = 631,279.35/876.27
  6. Step 6: Final answer
    x = 720.42

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1.5x scale

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.