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Finding the Fourth Proportional to 524.72, 787.30 and 200.00

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Solution

The fourth proportional to 524.72, 787.30 and 200.00 is: 300.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 787.30 = 200.00 : x
  2. Step 2: Convert to fraction form
    524.72/787.30 = 200.00/x
  3. Step 3: Cross multiply
    524.72x = 787.30 × 200.00
  4. Step 4: Simplify right side
    524.72x = 157,461.47
  5. Step 5: Solve for x
    x = 157,461.47/524.72
  6. Step 6: Final answer
    x = 300.09

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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.