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Finding the Fourth Proportional to 525.34, 787.74 and 200.62

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Solution

The fourth proportional to 525.34, 787.74 and 200.62 is: 300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.34 : 787.74 = 200.62 : x
  2. Step 2: Convert to fraction form
    525.34/787.74 = 200.62/x
  3. Step 3: Cross multiply
    525.34x = 787.74 × 200.62
  4. Step 4: Simplify right side
    525.34x = 158,036.40
  5. Step 5: Solve for x
    x = 158,036.40/525.34
  6. Step 6: Final answer
    x = 300.83

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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.