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Finding the Fourth Proportional to 524.97, 782.75 and 515.25

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Solution

The fourth proportional to 524.97, 782.75 and 515.25 is: 768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 782.75 = 515.25 : x
  2. Step 2: Convert to fraction form
    524.97/782.75 = 515.25/x
  3. Step 3: Cross multiply
    524.97x = 782.75 × 515.25
  4. Step 4: Simplify right side
    524.97x = 403,313.23
  5. Step 5: Solve for x
    x = 403,313.23/524.97
  6. Step 6: Final answer
    x = 768.26

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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.