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Finding the Fourth Proportional to 793, 1,189.50 and 280

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Solution

The fourth proportional to 793, 1,189.50 and 280 is: 420

Step by Step Solution

  1. Step 1: Write the proportion equation
    793 : 1,189.50 = 280 : x
  2. Step 2: Convert to fraction form
    793/1,189.50 = 280/x
  3. Step 3: Cross multiply
    793x = 1,189.50 × 280
  4. Step 4: Simplify right side
    793x = 333,060
  5. Step 5: Solve for x
    x = 333,060/793
  6. Step 6: Final answer
    x = 420

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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.