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Finding the Fourth Proportional to 1,295.80, 1,942.82 and 418.03

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Solution

The fourth proportional to 1,295.80, 1,942.82 and 418.03 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.80 : 1,942.82 = 418.03 : x
  2. Step 2: Convert to fraction form
    1,295.80/1,942.82 = 418.03/x
  3. Step 3: Cross multiply
    1,295.80x = 1,942.82 × 418.03
  4. Step 4: Simplify right side
    1,295.80x = 812,159.81
  5. Step 5: Solve for x
    x = 812,159.81/1,295.80
  6. Step 6: Final answer
    x = 626.77

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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.