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Finding the Fourth Proportional to 524.57, 782.71 and 512.75

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Solution

The fourth proportional to 524.57, 782.71 and 512.75 is: 765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.57 : 782.71 = 512.75 : x
  2. Step 2: Convert to fraction form
    524.57/782.71 = 512.75/x
  3. Step 3: Cross multiply
    524.57x = 782.71 × 512.75
  4. Step 4: Simplify right side
    524.57x = 401,335.23
  5. Step 5: Solve for x
    x = 401,335.23/524.57
  6. Step 6: Final answer
    x = 765.08

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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.