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Finding the Fourth Proportional to 524.52, 787.19 and 415.98

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Solution

The fourth proportional to 524.52, 787.19 and 415.98 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.52 : 787.19 = 415.98 : x
  2. Step 2: Convert to fraction form
    524.52/787.19 = 415.98/x
  3. Step 3: Cross multiply
    524.52x = 787.19 × 415.98
  4. Step 4: Simplify right side
    524.52x = 327,453.22
  5. Step 5: Solve for x
    x = 327,453.22/524.52
  6. Step 6: Final answer
    x = 624.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.