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Finding the Fourth Proportional to 869.36, 1,304.03 and 522.80

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Solution

The fourth proportional to 869.36, 1,304.03 and 522.80 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.36 : 1,304.03 = 522.80 : x
  2. Step 2: Convert to fraction form
    869.36/1,304.03 = 522.80/x
  3. Step 3: Cross multiply
    869.36x = 1,304.03 × 522.80
  4. Step 4: Simplify right side
    869.36x = 681,737.75
  5. Step 5: Solve for x
    x = 681,737.75/869.36
  6. Step 6: Final answer
    x = 784.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.