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Finding the Fourth Proportional to 525.26, 783.79 and 522.23

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Solution

The fourth proportional to 525.26, 783.79 and 522.23 is: 779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.26 : 783.79 = 522.23 : x
  2. Step 2: Convert to fraction form
    525.26/783.79 = 522.23/x
  3. Step 3: Cross multiply
    525.26x = 783.79 × 522.23
  4. Step 4: Simplify right side
    525.26x = 409,313.43
  5. Step 5: Solve for x
    x = 409,313.43/525.26
  6. Step 6: Final answer
    x = 779.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.