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Finding the Fourth Proportional to 789.52, 1,184.34 and 405.04

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Solution

The fourth proportional to 789.52, 1,184.34 and 405.04 is: 607.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.52 : 1,184.34 = 405.04 : x
  2. Step 2: Convert to fraction form
    789.52/1,184.34 = 405.04/x
  3. Step 3: Cross multiply
    789.52x = 1,184.34 × 405.04
  4. Step 4: Simplify right side
    789.52x = 479,705.07
  5. Step 5: Solve for x
    x = 479,705.07/789.52
  6. Step 6: Final answer
    x = 607.59

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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.