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Finding the Fourth Proportional to 522.33, 783.26 and 157.04

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Solution

The fourth proportional to 522.33, 783.26 and 157.04 is: 235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.33 : 783.26 = 157.04 : x
  2. Step 2: Convert to fraction form
    522.33/783.26 = 157.04/x
  3. Step 3: Cross multiply
    522.33x = 783.26 × 157.04
  4. Step 4: Simplify right side
    522.33x = 123,003.15
  5. Step 5: Solve for x
    x = 123,003.15/522.33
  6. Step 6: Final answer
    x = 235.49

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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.