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Finding the Fourth Proportional to 915.36, 1,262.82 and 522.06

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Solution

The fourth proportional to 915.36, 1,262.82 and 522.06 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.36 : 1,262.82 = 522.06 : x
  2. Step 2: Convert to fraction form
    915.36/1,262.82 = 522.06/x
  3. Step 3: Cross multiply
    915.36x = 1,262.82 × 522.06
  4. Step 4: Simplify right side
    915.36x = 659,267.81
  5. Step 5: Solve for x
    x = 659,267.81/915.36
  6. Step 6: Final answer
    x = 720.23

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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.