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Finding the Fourth Proportional to 915.19, 1,263.09 and 522.25

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Solution

The fourth proportional to 915.19, 1,263.09 and 522.25 is: 720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.19 : 1,263.09 = 522.25 : x
  2. Step 2: Convert to fraction form
    915.19/1,263.09 = 522.25/x
  3. Step 3: Cross multiply
    915.19x = 1,263.09 × 522.25
  4. Step 4: Simplify right side
    915.19x = 659,648.75
  5. Step 5: Solve for x
    x = 659,648.75/915.19
  6. Step 6: Final answer
    x = 720.78

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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.