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Finding the Fourth Proportional to 1,314.03, 1,969.83 and 492.85

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Solution

The fourth proportional to 1,314.03, 1,969.83 and 492.85 is: 738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.03 : 1,969.83 = 492.85 : x
  2. Step 2: Convert to fraction form
    1,314.03/1,969.83 = 492.85/x
  3. Step 3: Cross multiply
    1,314.03x = 1,969.83 × 492.85
  4. Step 4: Simplify right side
    1,314.03x = 970,833.18
  5. Step 5: Solve for x
    x = 970,833.18/1,314.03
  6. Step 6: Final answer
    x = 738.82

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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.