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Finding the Fourth Proportional to 789.83, 1,185 and 373.49

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Solution

The fourth proportional to 789.83, 1,185 and 373.49 is: 560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.83 : 1,185 = 373.49 : x
  2. Step 2: Convert to fraction form
    789.83/1,185 = 373.49/x
  3. Step 3: Cross multiply
    789.83x = 1,185 × 373.49
  4. Step 4: Simplify right side
    789.83x = 442,585.65
  5. Step 5: Solve for x
    x = 442,585.65/789.83
  6. Step 6: Final answer
    x = 560.36

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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.