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Finding the Fourth Proportional to 524.45, 782.84 and 486.42

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Solution

The fourth proportional to 524.45, 782.84 and 486.42 is: 726.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.45 : 782.84 = 486.42 : x
  2. Step 2: Convert to fraction form
    524.45/782.84 = 486.42/x
  3. Step 3: Cross multiply
    524.45x = 782.84 × 486.42
  4. Step 4: Simplify right side
    524.45x = 380,786.60
  5. Step 5: Solve for x
    x = 380,786.60/524.45
  6. Step 6: Final answer
    x = 726.08

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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.