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Finding the Fourth Proportional to 524.56, 782.41 and 442.84

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Solution

The fourth proportional to 524.56, 782.41 and 442.84 is: 660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 782.41 = 442.84 : x
  2. Step 2: Convert to fraction form
    524.56/782.41 = 442.84/x
  3. Step 3: Cross multiply
    524.56x = 782.41 × 442.84
  4. Step 4: Simplify right side
    524.56x = 346,480.23
  5. Step 5: Solve for x
    x = 346,480.23/524.56
  6. Step 6: Final answer
    x = 660.52

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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.